The point You seem to be missing, is that the liquid in the cylinder expands when it warms up. This make not just a little pressure like a gas warming up, the liquid is not compressable, and will come out, through the overpressure valve, or by bursting the cylinder.
It doesn't just come out a little at a time when it comes out the over pressure valve, quite a lot does, and being liquid, that makes for a whole lot of gas. This is a fire/explosion issue if it gets ignited.
I witnessed this first hand while saling on a boat. The cylinder had been over filled in Cuba, We were day sailing in Key West.
While boats are supposed to have an overboard drain in the propane locker, on this boat [NOT MINE] there was a hole broken through the fiberglass locker, direct access to the bilge. If it had blown, I would not be here to write this post now.
This is the only time I ever feared for My life on a boat, and I have about 25,000 miles under My keel.