I've been to the Big East tourney at MSG a couple times, and scalping tickets was really easy and cheap for the exact reason you stated. Fans of the losing teams are quite happy to get face value (or less) for their tickets once their team gets bounced.
Two friends of mine went to the final 4 last year, and were going to head home after Syracuse lost to UNC, but were offered 2 championship game tickets for $50 per seat so they stayed. They didn't regret that decision.