If were talking about an outdoor coaster, and Fluffy being covered in rock work to block from certain points of view, what's not to say that Fluffy can't be blocked in quickly with a simple "garage door" to block from rain? Odd's are the coaster will shut down in the rain any way so it's not like Fluffy going into hiding will be anything guests see. This would let them give Fluffy at least full fur so it looks more realistic. A Fluffy figure without any fur would just look...wrong.