Yes PSA will knock it down a couple grades or more! The card is not mint anymore as it has the back game has been rubbed off.
You can also think of it this way...If it was rubbed off the card would have major scratches or maybe even paper loos so the card in my mind would not grade above PSA 4 due to this. PSA looks for scatches in their grading process so if the game was rubbed off you will NOT get a good grade.