Idk how to add a poll. But a team fan means you support a team no matter what quality of players the team has. A player's fan means you only support a certain team because it has X player. I would say for me, I'm strongly more of a players fan. I like to watch exciting players like McDavid, Crosby, Matthews, Ovechkin, McKinnon, etc. (while you might think I follow the Leafs, I actually don't that much tbh even before the 3-1).
In the NBA, I am more of a team fan (Raptors) but I do follow the other stars like Lebrons, Curry, Big 3 Nets, etc. MLB I mainly follow players like Ohtani, Trout, Tatis, Vladdy, Acuna, etc but Jays if I had a preference.