Yes, stay out of the area. If a fire should come up on you fast you are not only putting yourself at risk, but also anyone that would be attempting to rescue you.

Most animals manage to get out. New growth of plants afterward draw more wildlife back to the area.
We have friends down there that show dogs. They still have a day or 2 to get out. Yet they told me the wildlife has seemed to have already moved out. Many that can't travel fast tend to dig down.