Many years ago, something very similar to the OP's experience happened to us. We had bought a tank of butane in summer in Southern France, not knowing about its "special properties".
Cue forward to a truck camper rallye in late October, with night temperatures in the 20s.
We were woken up in the middle of the night by the low voltage alert of the LPG monitor in a freezing cold camper - the butane had "run out", and the furnace fan just kept on running until the battery was low (Suburban heater I believe, not sure why there was no safety circuit for this condition, but that is what happened).
After some initial confusion from being woken up by the alarm, we got it sorted out and replaced the seemingly "empty" tank with a fresh one with regular propane, and went back to sleep.
It was not until the next morning that we learned about Butane not evaporating below freezing, and that our tank had been, in fact, not empty.
This is why I suggested to the OP upthread to investigate in this direction.