Channa, it seems to me that you have an incomplete theoretical understanding. perhaps based on little practical experience.
My roofer was not an idiot, far from it, he had a good understanding of what it took to supply his kit and knew what actually worked, not just theoretical figures from the suppliers. If you believed that a 19kg cylinder would have been ample. Not so in reality.
At say -24 sure propane still boils. At a rate depending on the volume left in the cylinder. But as you draw off the gas the energy to boil it (latent heat of vaporisation) has to come from somewhere i.e. the air surrounding the cylinder. Otherwise that energy comes from the liquid itself cooling further. As the liquid gets colder and colder, the takeoff rate reduces. Quoted takeoff rates are for a full bottle, at a standard temperature, in free air.
As the temperature drops, so does the vapour pressure. E.g. at the standard temperature of 20C it is about 10 bar. Whereas at -20 it is less than 2 bar. That's absolute, so subtract 1 from that. 9 bar nominal, under 1 bar at -20.
You could probably translate that into take-off rate, eg. 1/10 the headline rate at -20. For a full bottle. In free air.
Also why propane cylinders are rated to 30 bar (with margin) and the valves fitted with pressure relief valves typically set at 26 bar. To withstand temperatures of about 60C. Well I've camped in temperatures well over 40C with the sun beating down on the van so hard you could almost fry an egg on the bonnet (I tried, it cooked the white but not the yolk). Goodness knows what the temperature inside the locker was. Fortunately I was using a Spanish butane cylinder having depleted my propane, so it wasn't a worry.
Also consider that, whilst your pigtails and connections may seem sound, the rubber pigtail in date (they degrade) when you checked them under 9 bar with leak detector spray or something more sophisticated,, they need to be good enough for three times that pressure, when the rubber tube could also be near 60C, to be safe. So always use the type with an excess flow valve at the cylinder end. Clip on valves sometimes have these inside, but if you are using e.g. a Calor cylinder with a basic twist valve there is no such safety device. If that pigtail blows out, or gets ripped off in an accident, well you can imagine what might happen with propane spewing out under several hundred psi..
See
https://www.engineeringtoolbox.com/propane-vapor-pressure-d_1020.html
That should give you a feel for how drastically low, and high, temperatures affect propane.
The regulator is no obstacle in my setup.
Even in summer conditions my propane bottle develops hard frost at the level of the liquid with only 2kW draw from my Truma heater. The liquid must therefore be below zero, maybe a long way below zero. A big temperature differential. There is no air circulation inside the locker except possibly a little through the drop vents, it's basically an insulated coolbox surrounding the cylinder.
So the thermal path to gasfiy the liquid is external air > walls of locker > air inside locker > wall of cylinder > liquid propane. There is a temperature drop across each interface, adding up to a big differential. The bottle would perform much better if it was outside the locker, exposed to the outside air.
As the bottle empties there is also a smaller and smaller volume of liquid left. You just can't use this when it gets really cold.
If I had a 4 kW heater rather than my underpowered 2 kW one, the problem would be twice as bad.
This is the reality, not theoretical understanding.
Those electric heating blankets are not "snake oil", such an ignorant remark. They are used by people in genuinely cold climates who still like to operate e.g. big gas barbecues outside, drawing off many kW of gas. Or the big ones for household storage tanks.
I've worked in Minneapolis, Ottawa and Calgary in the depths of Winter and know what real prolonged cold is like. They manage just fine. some UK people may not have a clue what properly cold weather is, or how rapidly it can change. People there have to be prepared for it. We are blessed to have the Gulf Stream keeping us warm and moderating our temperate climate.
Zero degrees (F) is considered unseasonably warm. That's -18C to us. It gets much colder than that.
On a micro scale I know how to manage LPG in cold weather, even melting snow for water, that's why my backpacking stove is an expensive one that can take a feed of liquid gas from the inverted canister and boil it up in a preheater at the burner. It can also run off pressurised petrol, paraffin, diesel, even jet fuel, but I prefer to use gas canisters where possible on short trips.
Perhaps we could return to discussing diesel heaters now. I've identified some candidates that look good, but installation the way I want it is going to be complicated.