Yes but that is my point. If you're an Islander you play McDavid twice but Crosby six times or something. Natural that bias might happen. You watch tapes on Crosby three times as often too.
Also how much it depends what player X does against your team. The only team McDavid has 0 points this year is Sabres. If players base it a lot towards the games against your own team, there might not be much votes for McDavid from Sabres players. And same applies to other star players from other teams.