Good point - I only had close games in mind. I’d say you don’t worry about game ending on FT if the score isn’t close. There isn’t really going to be drama over ending a 10 point game no matter how it ends.But if it's a target score and the other team is down by like 6 points, what does that do?
Alternative suggestion: if, when the designated score is reached, the game is within 3 points, the trailing team gets one final possession to tie or take the lead.
This would end the “game always ends with a basket” thing, but it would allow Not close games to end sooner while letting the close fought ones possibly go on for a bit.