I wasn't comparing injury rates, I was comparing the willingness of a coach to sit out a player, and attributing some level of influence on that decision based on how many games are in a season (and thus how important every individual game is).
Additionally, nobody was talking about forcing coaches to bench players, we're talking about setting up the system such that coaches feel it's in the best interest of the team to occasionally bench (rest) players. Also, you don't send an entire team of lower quality players out at once, you cycle them through such that you're still always playing at a high level, just maybe not the peak possible (which you often aren't because of injuries anyway). There may be additional benefit to running more games when it comes to fan viewing and involvement, I'm not sure, but there's probably good data on it for many other sports.