The initial cool down process the compressor will run until the desired temperature is reached. Taking an hour for this to occur seems excessive to me but experience trumps theory, and I've not owned a Dometic.
The ARB i cycled for 3 weeks would run on for 15 minutes then off for an hour or so. Temps would swing from 28 to 38F in that time it was off, and back to 28 after running for about 15 minutes.
That compressor consumed 40 to 45 watts, except if had been unplugged for a few hours, then it would draw 60 to 65 watts until temps dropped to 28f.
Those temp readings were with my IR thermometer, not the fridge display which read about 10 degrees colder.
My Vitrifrigo front loader runs for ~4 to 5 minutes on, ~15 to 20 minutes off and the temp range is 33.5 to 35 before going back to 33.5.
The watt meter I linked is a wonderful tool for counting amp hours consumed over a period of time. Here it is on My fridge:
The 12.74 was the minimum voltage. That section of the display cycles through Watt hours, Amp hours Watt peak, Amp peak, and voltage minimum. Some versions of this watt meter sill also display time passed here. Mine do not.
There is No point in guessing, but I guess that did not stop me from trying to on a fridge I've never seen, much less used.
And Waeco apparently has their own compressor design out now. Whether it made it into the Dometic sold in North America is an unknown variable.
It could have the Danfoss/Secop BD35f compressor