I have migrated several sites - including changes of urls (and even domains). If done well (meaning that all pages are properly redirected from the old to the new url) there should not a be an issue. In 80% of the migrations, you couldn't even notice that there had been a migration if you looked at the search engine traffic. In the 20% where traffic was lost, it wasn't related to link juice but to other issues:
- if you change the look & feel of your pages this can have an impact on your visitors (both positive and negative - check bounce rate, time on page, avg. pages/visit) - if it's negative you can quite easily loose positions in search (resulting in lower search traffic). If your pages stay exactly the same - this shouldn't be an issue.
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Same goes with performance - if the performance of the new platform is worse than the old one - it could again have a negative impact on your users, and as a result on your position in the SERP's.
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if you change your site structure - take care of you site depth. Sometimes changing you site can push important content deeper or cause less internal links to these pages, again having a negative impact on the site's performance in the SERP's.
Nobody will be able to give you a definitive answer on your question, but as far as I know, link juice doesn't get lost with 301's, but a lot of other factors can have a severe impact.
If you loose traffic, recovery can take a long time (up to 6 months) provided you find the root cause of the problem (and it won't be the link juice). If you don't - that traffic is gone.
Hope this helps,
Dirk