Google Tasks on iOS

The app currently always remembers where you stopped last and takes you to the same place.

I was going to change it so that it would open the "home" screen if you didn't launch the app for more than, say, two hours - presumably you wouldn't remember where you were anyway, so there is no point in taking you back there. :) From there it will be still one tap away to your "favorite" list. Would that work better for you?

I don't like adding settings for small things like that as it would be far too easy to get lost in the pile of them.