it would be nice to get a tribute button on all screens so it can be collected without returning to the home screen. there are times i have not collected tributed in a timly manner because i was farming gold or i forgot to set a timer.
even a small banner like when we get mail or campaign task saying “tribute is ready to be collected” would be nice
The reminder banner could be an improvement. A new button on all screens might cause more damage on the interface than it helps and would be bugged for months.
Please be aware, that the game does not communicate with the servers during fights, so you would only get the information, when a match ends anyhow. Might not save you as much time as you hope.