If you cover the probe it can creat a pocket where the temperature it higher. And if it is aluminum tape then the tape will act like a heat sink and can mess with the probes readings.
Ceramic heat emitters get way to hot for BP's and they absolutely kill humidity. If you are going to use a CHE it needs to at least be on a lamp dimmer.
That's why I suggest using an infrared bulb, they don't put out much light and stay at a more reasonable temperature.
Putting the probe between the UTH and glass makes it so the air temperature in the room doesn't effect the probes readings, but taped to the bottom is fine.