Yes, money will be generated based on performance in tournaments, but that money is earned for each school's respective conference and is distributed evenly to conference members. The tournament money is added to the recruiting budget for next season.
For the National Tournament:
For the Post-Season Invitational:
So if a single conference had two teams in the National Tournament and both of those teams made it to the final game, the conference would earn $36,000 (12 total games x $3,000). The $36,000 will then be divided equally amongst that conferences member schools, so each school would receive $3,000.