I guess I don't mind the potential 3:2 advantage too much. It makes a game exciting if a team is down by one or two but beyond that it only marginally matters. Ie, if my team is down six it would take six repetitions of the 3:2 advantage to catch up. Even if the other team only shot 50% it would still take three repetitions of the 3:1 advantage and either way my team needs to hit a bunch of three point shots.
I get the idea of applying it for a backcourt violation though because, as you said, that would cause a press and defense to actually be played for a few seconds. What would you do if the leading team had a bunch of timeouts left and used them after advancing the ball over the timeline to then inbound the ball back in the backcourt and use another 10 seconds of backcourt time? Would you be ok with that?
I did consider this when thinking about this (several years ago). I would enforce the 2 + ball only after a missed shot, or made bucket. Once the ball advanced the timeline, you could not game it by calling timeouts and then inbounding in the back court. (We all watched that Bielema kickoff game vs PSU). talk about not playing in the spirit of the game. That's what the 'foul immediately' BS does to me, it's like a quirk in a video game which is easily exploited. #
I'm not bothered by the reality that a team that trails by 3, 5, 8, whatever in the closing minutes, has a really hard time of getting back into it. Too bad. The game is 40 minutes. To manipulate the game by fouling intentionally in a pure arbitrage play (3:2, 2:2, 2:1, 2:0) ends up soiling the game. It isn't exciting or enjoyable when a team comes back from 4 down on the heels of a constant fouling strategy, as it takes 15 minutes to play that last minute. Miserable is what this is. (the teams we cheer for have been on both sides of this, no doubt). I guess the last title game that IIRC this was a thing, was KU v Memphis. It was a brutal end of game experience. I don't care who won or lost, the final minutes sucked. Yes, FT are part of the game, but is intentionally fouling guys 80 feet from the rim, part of the game?
# Sidebar: example: Atari 2600 game of Home Run, bean the first two or three batters, and then almost always turn a triple play on the next batter. It's 3 card monty not baseball. There are dozens of examples like this.