Yeah we could have it begin like "The Player (not to be confused with the in-game protagonist) is often refered and approached to by Monika during Act III....." And to make the article more relevant and interesting we'll have to emphasise on the difference even more.
I don't think there is a need for it in my opinion. There would be very little in the player page since player only talked to directly by Monika (and Sayori) very few times before Act 3. Plus I wouldn't be able to be a character page since there is no proper appearance to the player since, well… it's everyone who has ever played the game. Though that's just my opinion