I understand the sentiments referencing teamwork, brotherhood, and obligations. However, I believe with college athletics, that is almost exclusively referenced when it comes to players. Had UH managed to sneak into the CFP, Herman would be their coach until they were eliminated. Had we dropped a few games and ended up in the Capital One Bowl, I seriously doubt CLK would still be our OC. These are guys with contractual obligations that are just as, if not more binding than scholarships. The only reason CLK is still around is the opportunity to pad his resume with another NC. He may talk about seeing things through with the team but he wouldn't do that for a lesser post season game and the vast majority of fans would understand. Also, the coaches that stay for the bowl can still work with their new employer at the same time (recruiting, hiring assistants, etc...). These players may have a lot they want to work on during this time to prepare for their future employer. Some of the coaching, facility use, training opportunities...etc cost money and many times they need to get this money through an agent. They may also have other pending financial obligations that they need to take care of. This is an additional month of amateurism that has very little upside for the player and a lot of risk.
If NFL GMs, who value a team first attitude, had a problem with this, I seriously doubt any of them would do it. I believe this is the reason that players won't start sitting out in earlier games (again, risk vs reward). Normally, the players that are high draft picks are known for their hard work and dedication to their sport and their team, I believe their fellow players understand the difficult decisions that these guys are making. While the team is important to these guys, I doubt it is more important to them than their families or their future.