I agree with a lot of what you are saying. Luck isn't stupid, but he's a player - meaning that if given a choice, most players are going to choose to play. The team has a responsibility to do what's best for him and the team, regardless. I realize it's all in hindsight - but the team let him play through the injury, which now has effected the entire shoulder. Presumably, they wouldn't have let him play if they realized this would happen...but they did. And at the end of the day, results have to matter. It's been mismanaged.
It's a little speculation on my part, but I believe the reason Irsay is "furious" at the medical staff is because he was told that playing through the injury wouldn't make things worse...but it did. And here we are - I'd be furious too if I was in his place.