It will hate life running RWD. Nothing in the drivetrain is built for that. It's basically a FWD car with power split off to the rear, not the other way around.

As for your motivation for getting a DSM- do what you like. It doesn't matter what other people do. If you like 240s, get a 240. If you want a RWD turbo 4 cylinder car, buy a rwd 4 cylinder car and turbo it or swap a turbo engine into it. Don't try to make a DSM something it's not.