Maybe there is a better way to secure your lamp also. Possibly a large clamp. That may ease your mind a bit. And, I agree to keep the cats out.
I totally get what your saying about fear/anxiety. I have ocd and am a control freak. I too have an unreasonable fear of a house fire. But, we can only control so much. Be sure all heating elements are on a thermostat. I prefer pvc cages with an rhp. This method/setup eases my fears but nothing to 100% certain in life.