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Thanks for the response Patrick!

Not exactly ... what is happening is:
http://www.example.com/widget-a-article
(click tag)
http://www.example.com/tag/widget-a (this generates a list of all articles with the relevant tag and a summary of each article)

What I'm wondering is whether I should use a 301 redirect on the tag to make it go:
http://www.example.com/widget-a-article
(click tag)
http://www.example.com/widget-a (the cornerstone page)

(instead of)
http://www.example.com/tag/widget-a (the summary tag page)

Is the summary tag page that is created by clicking the tag siphoning of Google Juice from the cornerstone page?

The title is pretty self explanatory ... we have cornerstone pages ( such as a page for "Widget A") that rank for a certain keyword and then relevant articles that all link to that particular cornerstone page.  Each of those articles  has the same tag ("Widget A") to tie them together.  If you click on that tag, it creates a list of all articles with that tag.  We think that this may be siphoning off some of that keyword Google Juice from our Widget A cornerstone page.

Our question is, should we 301 redirect that tag to point to the Widget A cornerstone page, use a rel canonical pointing to the Widget A cornerstone page, or just leave it alone like we are doing now?  Our goal is to have the Widget A cornerstone page receive the most Google Juice possible and not be diminished by the tags.

Note* - We don't want to stop Google from crawling the tags because some of our tags rank highly for other keywords.  Also, we tried 301 redirecting the tags before and our ranking dropped significantly ... however, we made a lot of site changes at the same time so we are not sure if the drop in rank was due to redirecting the tags or the site changes.

Help please ... thanks in advance

We subscribe to both Moz and SEMrush to help administer our sites.  However, SEMrush, which used to update our campaigns once per day, hasn't been functioning for over one month now ... and it isn't just our campaigns, people are complaining about their service all over the internet.  Still, they haven't posted a single status update on their blog or on any of their social media even though everyone has been complaining about the issue.  Emails go unanswered, and when they do answer, their response is that they are having technical issues and will have the problem fixed by Monday ... and they have been saying that for about 6 weeks now with no end in sight.  Does anyone know if they are going out of business or are they just completely dropping the ball?

I am not sure ... we don't track revenue by device type.  However, the timing has to be more than a coincidence ...

Our traffic has dropped 25% in the last 3 weeks while maintaining our keyword rankings.  At first, we thought it was due to the simultaneous change in Google UI where they removed the separators between ads and organic results.  However, now, we have also noticed that our user devices have gone from ~ 50% desktop/50% mobile to 20% desktop/80% mobile.

Just food for thought ...

Interestingly, our site traffic is down ~ 25% in the past 3 weeks as well, with no loss in keyword rankings.  We are presently assuming that it has something to do with Google's removal of the separators from between paid ads and organic search results.

Just something to think about ...

Since the last week in March, one of our sites with ~ 1 million high quality page-views per month has had a 25% drop in traffic, CTR drop from 4% to 3%, and AdSense eCPM has dropped from $8 to $5 ... however, all of our keyword rankings have remained unchanged.  Also, it is an extremely consistent niche with no drop in relevant searches ...

The only thing that we KNOW for sure has changed is the removal of the separator and indentation from the Google search ads to our #1 ranking positions.  Could such a simple alteration in the Google search results UI have such a significant impact on our numbers?  Is anyone else experiencing a similar revenue drop without a rankings drop in the past two weeks?  Besides punching up the titles to make our search results more appealing to users, is there really anything that can be done about Googles new paid results placement?

Your thoughts and suggestions are invited.  Thanks guys and gals

That is great and all. But since this entire site is devoted to search engine optimization, your suggestion to forget about optimizing my cornerstone page doesn't really help ...

A page that is specifically designed to rank for a particular keyword or group of keywords ...

I have a cornerstone page and 10 related articles that all have links to the cornerstone page.  My question is, should the cornerstone page link back to those 10 articles as well or will it lose juice by doing so?

Thanks in advance

I have an electronics niche news website.  A scraper who had an online store selling products in my niche copied every one of my articles and posted them on his site under the heading "News" ... generally within 1/2 hour of me posting them on my site.  His site was even showing up in the rankings before mine.  I filed a copyright infringement claim with Google two weeks ago via their online form explaining what he was doing.  Today, I received an email from Google saying that they have reviewed his site and have delisted it from the search engine.  I just checked, and he is GONE ... completely delisted, no trace.  My site traffic has also jumped at least 25% today.  It pays to complain!

Just sharing

Yes ... brought it all in house to ensure that we stayed 100% whitehat.  Spent A LOT of time removing and disavowing spammy links.  Once that was completed, rankings IMMEDIATELY rose causing our quality content to actually be seen by people.  Our content was high quality and unique which resulted in it immediately being linked to by big sites like CNN, Fortune, WSJ, etc which caused 1,000 little niche sites to link to it as well which resulted in an even bigger boost.  When everything went bad, it went bad quickly ... and when everything went right, it shot up like a rocket.  They key, as everyone else says, seems to be to provide well structured quality content and the rankings will take care of themselves.  

Most important thing I have learned so far:  Provide quality content that is well structured according to the principles found here on Moz and your rankings and backlinks will take care of themselves.  If I had done that from the beginning when I started in March, my sites would be 3 to 4 times more successful than they are now.  All it takes is a week or two to read and watch EVERYTHING that this site has to offer ...

Great question.  I, too, thought that setting up Google authorship was supposed to prevent this from happening.  I have the same problem with both legitimate republishing and with scrapers who sometimes get ranked higher even when posting just part of my articles.  Also, my Google plus blurbs and links to my articles get ranked in the #1 spot and my original article will end up on page 10.  Google is whacky ...

Many of my tags rank higher than my actual articles for particular keywords ... some even rank #1.  Not sure what to do about that ...

Still don't quite get mozcast yet ... maybe I better read the "About" section again

A page that is specifically designed to rank for a particular keyword or group of keywords ...

Are you asking me out on a date?