I'll do a write up on this shortly. Not just apps but pros/cons, best methods, best practices....
I have a few reasons I don't like the idea of a burner as well as a virtual option. However, I do agree about GV as a "possible" problem.
Not so much data collection that could be problematic, the real issue, which coitus mentioned, is the heavy integration in phone's.
So, if you are not highly technical, or at least very careful, you could have primary account(s) & "anonymous" account(s) bleeding over into each other such that you accidentally expose info you don't want others seeing (like wife, kids, gf, friends....).
I'll make another reply on this when I have time to fully explain as well as do some additional research.