I don't reckon the goal in this case would be to achieve "the same thing" but much rather a different game mode as a whole. I can see the appeal of contesting with a limited total time as opposed to total time per turn, would definitely bring a different game-mode to the table that's fresh. However I'm unaware if this was already brought up in the past and discarded due to any plethora of non-viable gameplay it would bring along with the implementation. Worth looking pondering on imo.