Hi Peter, I think you will find that the problem is with the fridge not the gas, our first campervan was fitted with a 3 way fridge & as the years went by it got to the point where it was taking about 6 hours to get to operating temperature, a real PIA, I sought advice & was told that over time especially when standing for long periods in the off season they get for want of a better term "silted up", apparently & you can find this online or ask a friendly caravan engineer as I did, you can adopt a regime of turning it upside down & running it, from the mains I should add, then right way up & so on, it cured mine & looking on the bright side you wont have the rave getting it out that I had! If you succeed then embark on a regime of running it from time to time to keep it that way.
However as that experience marked me for life, when we aquired our latest van 18 months ago the man who had owned it ran it with an obscenely expensive Dometic fridge that had just about enough room for a bottle of milk & 2 pots of yoghourt inside, I went straight out & bought a 45 litre table top compressor fridge & stuffed it under the end of the bed, fastened down, it takes 8 minutes to get down to temperature!
cheers.