Hi Alan,
I assume you mean pageviews per visit rather than click through rate, since you mentioned 2.2 pages/visit.
Pageviews per visit is the average number of pages viewed per session, while bounce rate is single page visits.
Normally, the answer is yes where lower bounce rates would usually correlate with higher average pageviews per visit, however the correlation is not that high since there are many factors included over here (Sources of traffic, landing pages, search keywords, and the list goes on).
So the assumption here is that you would be getting the same quality of visitors, however with decreasing single page visits which would normally increase the pageviews per visit. However bounce rate moving from 69% to 64% is not that big of a difference, and I am not sure what the sample size is for these visits.
I would recommend that you check landing pages with high pageview per visit and start focusing your marketing efforts there and you should find an increase in average pageviews/visit.
With regards to bounce rate affecting rankings, well this only applies for bounce rate you get from organic traffic, since google can not actually determine your overall website bounce rate (or atleast they claim they don't use analytics data), so make sure that your top organic landing pages are well optimized for their target terms with proper call to actions to avoid bounces over there.
Hope this was helpful.
Have a great day,
Moe
