Again thanks for the replies!
James: Yes, skinny nut in front, thicker nut in back. They're pretty big too, 1"+. I will try focusing on the fat one.
About the piping: I was mistaken about it being flexible. It has a plastic sheath on it which made it appear like a black propane hose. The line is metal all the way around, and I've tried bending it to no avail. I wasn't being terribly forceful though
About alternative connection points: I already checked on that one. The metal piping behind the coupler hooks up like a big horseshoe, coming back down where it goes through the floor. On the outside of the unit, that pipe comes through the floor over 12" with several bends before its first union with the main RV line. Unless I cut the pipe that's not an option. I also checked for a back-entry to the unit and popped off the exhaust panel, but I only get a 4x6" opening to the back of the unit and it's clogged by 2 pipe ends. So no hope there.
Good to know the nut is likely right-hand threaded! Yes, the only reverse threading I've seen is on our propane tank hook up here at the cabin.
As far as whether or not I must pull the unit; if I don't, it doesn't get fixed. There is literally no access to the rear of the unit where the electronic parts are. It must come out or remain broken. The reason I do these things myself is because I cannot afford to pay someone to do it for me. That, and I value learning and knowing how to tend things myself. A professional's knowledge is not out of reach to the average person. Their degree or certification does not mean they know something others can't learn without that same piece of paper. I'm not saying the average person can do it as well or better, but we CAN do it. Part of the beauty of learning to do these things yourself is that you gain uncommon knowledge and have the opportunity to pass that freely on to others, with, naturally, a healthy dose of disclaimers and practical cautions, as you have done
So, round-about point being, it's not a matter of ambition. It's a matter of necessity and principle. Being self sufficient isn't simply material. It's intellectual and skill-oriented as well.
Cutting the line: It seems to be the most simple way to pop this thing out is to loosen this hex nut. That's literally the only thing holding it in. As per the manual, the removal instructions are "disconnect propane line, unscrew 3 screws, pull unit out". Seems pretty straight forward. However, with the space constraint, if I can't get this nut off, the next option may just be cutting the line behind it. There's a lot of pipe to work with back there. It would have to be coupled back together upon reinstallation, which will make it more prone to leaks and problems, and I really don't want that.
Cutting the cabinetry: I will not be cutting any cabinetry. This RV is REALLY nice and in excellent condition. I'm actually trying to get it sold but the non-working heater has been the fail point of every near-sale, even though I'm knocking of $3,000 to compensate for it. So getting it done myself will get it sold and get me a little more on the sale price
Taking it to a shop: There is only 1 shop in the area and they charge like $180 an hour, told me it might take 1-3 hours to diagnose, and 1-3 hours to repair, assuming there's no complications. She said to reasonably guess on at least $500. They're also booked out 3-5 months at a time at all times of the year. There are also complications with moving it off the property due to our remote location; the trip this RV takes off the property will be the last time it's ever here. I do NOT want to drive it back up here and have to park it again! So, ultimately, it's not going to a shop for fixing.
New idea: Just had this idea whilst typing... I wonder if I can pop the propane stove out and get top-access to the unit. I don't recall if there's a wooden divider between the stove and the furnace, or if the bottom of the stove makes the ceiling of this compartment. I will investigate this today.
Gas valve check and spark check: unfortunately I can't test any of these until the unit is out, or if I can remove the stove, until I can see it from above. Which raises a good point; if the unit is totally removed, I may need to splice and temporarily hook up/extend electrical and propane lines to test these things.
Line pressure: All of the appliances are working great and as they're supposed to, as did this furnace before it stopped lighting. I have a hard time understanding how there could suddenly become a pressure shift without a major influencing event to the propane lines or appliances, especially if the furnace is not trying to regulate the pressure itself. Granted I don't know the ins and out of propane systems that in-depth at this time, but it seems unlikely to me
Spark location: This is one thing that I find confusing. How can the spark be happening in a different/new place than where it's supposed to? Though, the fact that it sometimes lights and stays lit for under 60 seconds tells me that's probably not the culprit. I'm really inclined to think gas valve here based on my experience with my water heater. It was doing the same thing. Usually not lighting, but when it did light, it stayed lit for a short time then went out again. I did all kinds of testing, cleaning, and puzzling before replacing the gas valve ($42) and it's good as new now! Anyway, that combined with the indications of the manual. Still puzzles about the 'yes/no' map. My partner seems to think that the applicable answer in this case is "yes", but the double negative of "no's" really has me thrown for a loop. While I'm no mechanic, logic tells me that if the symptoms are virtually identical to the last gas valve that went out, and if, according to the manual, the other option is the module being bad, despite the module seeming to preform every other function it's in charge of perfectly, then it's very likely the gas valve.