cant help to much, but i guess it is how bad the burn is, like if it gose threw a few layers of skin, then i would think it woiuld damage it.
for eg, my fil sliced his arm open with a chainsaw, the scar goes threw his tats (he is hevily tattooed) but other cuts he has that wernt very deep have healed with no sign of them.

sorry if this hasnt helped!