[BillyCoxDodgers3B]

^^^

If there is no yellow discoloration of the tape which has seeped into the cardboard, it can indeed be removed without compromising the card. Due to the lighting in your photo, I find it impossible to tell where yours stands for certain, but it looks like a prime candidate for removal.

I see no issue in tape removal. Not sure why anyone would. The tape itself is the alteration, as it wasn't there to begin with!