Humidity is a product of heat, evaporation (water vapour) and air flow. I think, by changing the bulb, you changed the heat and movement of the air and never rebalanced the system (larger water bowl different location and or altering the way the air moves.
If you take a air tight box at a given humidity and add a uth to it raise the temp to 90º and measure the humidity and then exactly repeat the conditions using a bulb inside (still air tight) the humidity will be the same as the uth. The fact a bulb it there will not change the humidity it is not absorbent and will not draw out water from the air. Bulbs change air flow patterns that is the difference. That can be changed by changing the vents on the enclosure.
Ok, I see what your saying. I never thought of it that way, I'm might have to try a little rearranging.
I kept a completely open screen tank in a room at 30% humidity with bulbs at a constant 80% with nothing more than water bowl size and placement and altering the air flow pattern with fins on the top. No substrate at all and no foil top or anything of that sort. Just a pan of open water that needed to be refilled every few days. (not for snakes but for stabilized humidity of paper.)