non-venting clothes dryers

Had no idea there is such a thing. We're does the moisture go up the side of the wall or ceiling?

If it's condensing, it drains off just like a small "window" air conditioner.

If it's a cheap "heater" the moisture simply goes into the room, and yes, "up the wall and ceiling"

Here's the idea of a dehumidifier, which is what a condensing dryer is. (In a previous life I helped construct some dehumidifier lumber kilns. We are talking some 60--120HP compressors)

Essentially, a dehumidifier is a window AC unit. Wet warm air enters the evap and the system causes cooling which causes moisture to condense and drain away. "That heat" which has been absorbed into the AC system is now REJECTED by the condenser. In the case of a window unit you do not WANT that heat, so it's ejected outdoors. In the case of a dehumidifier, you don't want to cool the room, so the condenser simply re-ejects the heat back into the room.

Essentially, "eventually" the room must heat up somewhat, because the unit is not 100% efficient. The heat radiated by the motor, by friction, and by "heat of compression" is conveyed into the room. The heat contained in the water in the clothes is also a factor.