ON or OFF.........not much difference as there are no moving mechanical parts.
Some debate on the effects of heating/cooling fatigue which does have a bit of merit. The more cycles anything goes thru over time will have an affect on it.
Costs to operate MAY be a factor.
BUT the biggest killer of absorption refrigerators is operating them in an off level situation.
So if you choose to leave it on in storage..........level the rig.
Otherwise turn it off.
Our last trailer.......1980's model...the fridge was ON and OFF. Still worked great when we sold it in 2003.
Current rig....fridge has only been off a few times each year for defrosting (short duration) otherwise it is ON 24/7. It's 7 yrs. old and going strong. Only have it set on #2 (out of 9). Highest we have needed to set was #3 during high temps & HIGH Humidity.
Is it time for your medication or mine?
2007 DODGE 3500 QC SRW 5.9L CTD In-Bed 'quiet gen'
2007 HitchHiker II 32.5 UKTG 2000W Xantex Inverter
US NAVY------USS Decatur DDG31