My Propex heater intake and exhaust are both plumbed through the floor....the exhaust is long enough to stick out the side of the van though.....do you have a CO and/or propane detector in the van?
At some point lengthening the intake/exhaust ducts may cause functional issues but (on a Propex heater anyway) there is some wiggle room.
There are RVIA specs on propane appliance locations such as how close the intake/exhaust can be to the van's fuel filler etc.
Do you have any specs for the fridge? The specs will tell you what mmHg propane pressure that it requires. I bought this regulator from GoWesty for the Propex.
LPG Gas Regulator (2-Stage) | GoWesty
Karl at Westy Ventures also sells regulators:
Westy Ventures / Propex heaters
My assumption is that most RV appliances require similar propane pressure but YMMV......
I plumbed a 1/4" copper line from my tank to the heater with std compression fittings bought at Lowes/Home depot.....
Does that female thread that you have the calipers on have a tapered seat? If so it's probably a compression fitting......although your caliper reading isn't too far off from 1/8" NPT.
All of the gas connections are going to be either compression, flare, or NPT. Straight threads don't seal without compression or flare.
One more thing......since the Propex is made in England...it uses BSPP (British) inlet threads......Westy Ventures provides a brass thread adapter to get to typical US style threads......so it could be something like that or metric.....