You could make the argument that they purposely made the clone bodies more attuned to the dark side, thus resulting in that appearance. However, the one Palpatine is currently in either didn’t have those modifications (as a prototype) or his spirit rapidly decayed those enhancements already.

Even in the original ROTS, that is Palpatines real look. It’s just not implied very well in the film because Palpatine is purposely making it look like he is being injured, even though he isn’t. It was a manipulation tactic done by himself against Anakin (and the galaxy as well).