Forced air vs catalytic radiant: I’ve used both over the years, but mostly propane fired/12v fan forced air, with a wall mounted thermostat. My experience is from 3 different campers, and a lot of nights over 30yrs.
Radiant catalytic heaters are so quiet you don’t even know they are on. You get this nice, even glow of heat, the temperature inside the camper is consistent all night long, great for sleeping. Most don’t require power, so if your coach battery gets low, or dies completely, you’ll still get a good night’s sleep with a bag, a flashlight, and your radiant heater. I once used a (borrowed) Mr. Buddy in a 1963 VW camper in the snow, and stayed nice and toasty all night long. You’ve gotta love the portability of those. On the negative side, they put out a lot of moisture, particularly if it gets real cold (and you’re burning a lot of fuel). From experience, the inside condensation can be a real pain, water can drip on you, in the middle of the night, from the skylight/escape hatch of a cabover camper. You have to open a window so you don’t die of asphyxiation. This is a big deal, as I once woke up with a splitting headache, from what I figured was a lack of O2. Yep, after a long cold day of duck hunting, I forgot to open a window. Having a mandatory window cracked open, let’s noises from outside, in, and can be a problem for light sleepers, depending on where you are camped.
Forced air furnaces: I love the quick warm up of forced air camper heater. In the small campers I’ve owned, the entire place warms up from 30deg F to 60 in 10min. The CO2 produced is exhausted through an exterior vent, part of the installation. You can warm your hands faster, dry wet boots and clothes overnight, and it’s dry. So dry in fact, that sometimes your nose dries out, I find myself keeping a bottle of water next to where I’m sleeping. If someone opens the door to climb in or out, the forced air furnace re-warms the inside very quickly. The downside, is you’ve got to have fuel and 12v, or else it’s a cold night. I had one, in my old SixPac cabover, that once power got down to lower voltage, the dam thing would close off the regulator, and run the fan. Run the fan until every last bit of power was extracted from the poor coach battery, that the lights wouldn’t even work. My Lance’s furnace would just shut off, run the fan for a couple minutes, and go silent, which was much better. Speaking of fans, I find the forced air furnaces noisy, wakes me up almost every time it cycles on. I was camping in Flagstaff AZ over Christmas, where temps dipped to 15deg F, the forced air furnace ran more than it was off during the night. The constant cycling on and off kept me from ever getting into a real deep sleep.