The discussion about the validity of binding YOU to the PC applies in mirror image here. In a second-person game, the PC is the narrator's YOU and the player's ME; in a first-person game, she's the narrator's ME and the player's YOU. But there is no game-world object for ME to bind to in commands in a first-person game - if anything, ME would be the player (not the player character, but the actual player), who is clearly not a game-world entity. Since that's not meaningful, we can assume that a player talking about ME in a first-person game is being literal-minded and just using the same pronouns the narrator does, or that they're so accustomed to the second-person convention of most IF that they're saying ME out of habit. In either case, the PC is the one they're talking about.

Me :   Pronoun