Well, yeah, but that bit comes in between the buisness bits. Most managers do care about the people working there, too, but ultimately that will not drive the decisionmaking when it comes to the business, paritcularly in public companies with an obligation to shareholders. It's only fair to reciprocate.

So absolutely be loyal to your team and your project, but never at the expense of your working conditions or compensation.

That's one of the reasons why collective bargaining is important. Short of having representation, like they do on the film business, you want to compartimentalize somehow, and having a designated representative to negottiate with everybody else behind them is a way to get there.