Thanks for your thoughts. I agree one would indeed expect to not be signed out by chosing exit. We happen to use google auth and are in this uncommon situation where the sign out action, actually signs the user out of their google account, which so far has annoyed every sigle one of our testers.

We are looking into a few other alternatives including the most obvious where we convey that they are indeed leaving the app but in the next screen let the user know that their google account is still signed in and provide an option if they still want to sign out. Thankfully we have quite a while to launch, so I have time to run a couple other iterations and pick the one which seems most clear.