Once my previous message gets approved: I stand corrected. There are actually two 'push' settings and I didn't know that. Sorry for any confusion that I caused ^^.
I think there's a mismatch in the interpretations of the term 'push'. What you're getting at, and what I would love to see as well, is Thunderbird for Android basically notifying me of a new message as soon as my email provider receives it. The setti...