Do you mean really care or just be good at pretending? The first thing I learned when I started working is the importance of not caring.
Caring can cause innner-team conflicts and burn out. Yes, you need to appear motivated but caring too much will just make you annoying.
Also this is more about the power of influence I get over a project. If I get real ownership and the power and tools to make decisions, yeah I am going to care, if not, not, just no. I am not wasting mental energy on things I can't change.
I will pretend to care about anything you want me to care though, if the pay is right.