Interesting game, this could be mixed with scoring rules like Rummy, playing rounds and adding points to the ones with cards left in their hand, the player with less points after n rounds wins.
Absolutely! I personally find this game's niche is good in the shorter-length category. I usually am with light-hearted people in a light-hearted setting when playing this, so the scoring might not go over well, as it would change the feel of the game, but if your crew of people like it that way, go for it!