The power calculations do not fit.
Yesterday I took a 900 watt liquid heating coil
Stuck it into a glass water glass. 16 oz. A wide tumbler.
Dialed in 40 watts AC, a resistive load.
Ambient air temp 66F
Within 25 minutes the HALF QUART of water was at 133F. Too hot to touch. I am not aware of any single or bi-level device that holds one half quart in the humidifier reservoir.
My Respironics unit is a Bi-Pap. Therefore the inspiration cycle which is set at 14 draws more watts than the expiration cycle which is set at 10.
In cool weather the humidifier heater draws more power. I found through a study that about 40% of the additional needed heater power is used when compensating temperature via the unit's humidifier thermostat.
Medical suppliers sell insulating tubes for breathing apparatus cannula. Significantly reduces ampere hour accumulation.
In addition, I have very loosely covered the Respironcs unit itself with a section of SPACE BLANKET. Yes I thoroughly monitored heat buildup (none) and after EIGHT YEARS on the same machine I can say the covering has had no negative effects. There is not enough inherent power consumed by the machine to radiate heat.
The heating pad beneath the reservoir has an enormously safe thermostatic system. Not only primary heating but a safety shutoff
If you really want to get snotty about saving energy, apply a dab of vegetable cooking oil between the heating pad and reservoir tank aluminum pad. This increases heat transfer significantly.
There is no arguing with meters. Any breathing apparatus that draws 50 watts of power continuously will either catch fire or melt the ice inside your igloo.
The subject of powering a breathing apparatus via an RV 12 volt system has omitted one vital fact.
DISCONNECT THE DEVICE BEFORE STARTING THE ENGINE in a camper or motorhome. The unit primary protection is contained within it's medical grade switched power brick. Contact ResMed or Respironics about the particulars of this. Starting the engine is a big no-no and for good reason.
By the way my BiPap draws 3.34 amperes max setting of 5 on the humidifier, with a 30% on duty cycle in 60F ambient the remaining 70% draws 13 watts.
With insulated cannula and space blanket the duty cycle drops to 20% with 50F ambient. This has no effect on the pressure unit wattage draw.