The only thing missing was the impact that altitude has on gas stoves in addition to the cold. I don't recall the formulas but most gas stoves should work at higher altitudes than they do at lower altitudes everything else being equal.
Absolutely correct.
There's a linear progression. As elevation increases, the boiling point (vaporization point) decreases. In other words, the higher you go, the colder the canister temperature in which your stove will work correctly.
You need the canister temperature to be about 5C/10F above the vaporization point in order for a typical gas stove to work reasonably well.
HJ