You encountered an antimony that focuses onto the problem of essence and accident.
To illustrate this: Is the healer character (or the player) the same, after he visited the barber? Usually you'd say no, but it is absolutely possible to see the haircut as the essence of a person - especially when the haircut is your only basis for reference. To grasp the essence (if there is one, and not only a relative essence that is only essential only for those who experience the object), you'd need to recognize the thing-in-itself, as what you perceive is only an appearance - but this is, within the material world, impossible, as not even the existence or the nonexistence of the thing-in-itself can be proven, let alone recognized.
So, we have to arrange ourself with the relativism within our possibilities of perception - and here it helps to check what we do and for what we try to recognize the things. Within a strategy game, the outer form is important - turning a Pawn into a Queen changes the essence of the piece, as the essence for the player is defined by its function. Within a PRPG, things are different: You play a figure with a biography and a history, and this is what should usually define its essence - and then, the role is accidental - just as we don't lose our essence when we change our job.