Yes LPG burns a tad hotter due to its dry nature, Petrol burns fiercer gving more bang for your buck but as it is 'wet' it cools the cylinder on ijection before it is burnt whereas LPG is injected 'dry' and doesn't have this minor cooling action...
Having said that, aslong as you are meticulous in maintaining your cooling system and keep on top of any leaks/blockages etc it should do fine in the typical UK weather.
HGF can occur equally as freqnetly on a poorly looked after or maintained engine/cooling system regardless of fuel media.
Some say the slightly higher combustion temperature loosens the liners (yes the 3.9 Classics can suffer liner issues as much as the P38) but I personally am not convinced that LPG alone can accelerate or instigate liners slipping....aslong as your cooling system is up to snuff, it should still run within the 'normal' range Land Rover designed the engine to run in.
Trouble with internet research is - most will only post on the internet forums or blog posts when or if they get a problem.....very rarely will you read or hear about someone who isn't having any problems.....it is human nature to scream and shout when we are having a problem or have a moan about something...rarely do we congratulate or sign praises as readily or as often...
The Rover V8's convert well to LPG due to there hardened Valve Seats, but the fitting of a Flashlube system wouldn't hurt or go a miss on these engines either...the Flashlube introduces a small amount of oil into the induction air to lube, cool and lcean the valves and seats to prevent them regressing...
Aslong as it is a good LPG install on a well maintained engine I should think you will be fine!