Yeah you've completely misread this. The phrase "not being a team player" is a euphemism for someone not willing to do dubiously unethical or illegal (or things that go against internal company policy) things in support of a low level supervisor or manager's wishes. Or more favourably, someone who's unwilling to do things outside of what he's actually paid for or to do things unpaid (or outside working hours etc.). Also known as wage theft.

The guy saying that he has been accused of "not being a team player" isn't literally quoting his management here. He's summarizing that his immediate supervisors don't like him because he's unwilling to enter in some patronage like relationship with them.

The fact that you gave the benefit of the doubt to some faceless employer here instead of an actual person recounting his experiences is really sad and maybe ought to be reason for you to rethink your biases to jump to the conclusion that this guy is a toxic loner. Sounds like you're projecting hard here from some other experience.

That is also a thing yeah. It's not really unethical or illegal but our VP has a huge preference for snazzy glitzy projects and never wants to tackle the problems that cause real pain in the organisation because they are not spectacular and don't make him look good. And yes I bring that up whenever it comes into play. I'm definitely not an order-follower.