It is a lot. That's the crux of the problem.
Modern rosters have 13 position players. You have nine spots in the batting order to fill each day. If there are 4 guys worse than Clemens, that's your bench - or if there's 5 then that's your bench plus a starter. Either way, Clemens is getting starters' minutes.
It's more beneficial to the team to upgrade the starter, than to worry about exactly who among the scrubeenies is cut.
The roster problem is deep, deep, deep, and Kody Clemens has us thinking about the wrong things.