because it will cause the floor right above it to get really hot, can cause the frame by it to worp or become weaker from the heat. burn a hole through the floor board. stuff like that.

You are overestimating the ability of the cat to a rather hysterical degree. Yes, it is hot. Yes, depending on the distance from the firewall, it could make the floor hot, but I have a funny feeling that it is not going to warp the frame or melt a hole in the floor.

Michael