Pros and Cons for both types, but for me the 12V compressor fridge wins out. It has a low draw and a low power surge on start-up. It will cool at high ambient temps and is not as fussy as propane.
Propane needs no power (some need power for just the circuit board - minimal minimal draw) so works when no power is available for long periods (weeks.months) at a time.
Add solar panels to your roof and some sun and you never need shore power to run the DC fridge.
DC fridge can run off-level up to 30 degrees where the propane is 3-6 degrees only, and will ruin if run off-level too much.
You have to decide, but some more details on how you camp would help.
No matter your response I vote for DC fridge.