I mean, technically it might be possible to include the option to remove fur if you were to do it. I get what you mean, though. People might not be a huge fan of it.
Or, you know, make some sci-fi tanning oil that provides all the skin tone-changing benefits without the skin-damaging UV radiation.
Just because the game panders to the furry crowd doesn't mean it can't contain flags and descriptors for people who play it for other reasons.
Contrary to popular belief there are a lot of people who play this game that actually aren't all into the furry scene.