By "hot" humidifier do you mean a vaporizer? It creates water vapor by boiling the water. Measure the temperature of the steam...it could be a lot hotter than you want and could harm plants or your cham if it happened to be right in the stream. I don't like worrying about this. Also, the heated water will grow bacteria faster.
A "cold" humidifier (ultrasonic) creates water vapor using a very rapidly vibrating disk that nebulizes the water, not heating it to make steam. The nebulizer disk gets warm, but doesn't really heat the vapor much. The vapor is usually about or just below room temp. I've used them for years on all my cham setups without any problems with temps. If you have basking lights on during the day the temps will recover pretty quickly.