And there's been another update today, that "probably" fixed the original crashing issue; which I also experience yesterday right after that update. I had to delete in re-install.
I caught the password reset news before opening Evernote for the first time today, and had already reset my password via the website; so the behavior of the iOS apps was expected and easily dealt with.
That's two single-day bug updates in a row. First the Kindle app and now Evernote. Apple must have created some kind of fast approval method for this kind of thing. I'm impressed.