For an accurate measurement of food compartment temps place a thermometer in a glass if water. This give you a measurement of how well the fridge is maintaining the 'food temp' and not the air temp.
Air temp can be deceiving due to lack of circulation and warm air is introduced into compartment every time door is opened. Absorption fridges are slow to recover air temp but doesn't mean food temp has changed.
Also fin temp will be 10*F lower than actual.
Empty food compartment will NOT be as cold and hold as steady of temps as one that has food in it. Cold food helps keep food cold and will help regulate temps.
You have an 'adjustable' temp setting on upper panel........therefore moving thermistor will not cause temp changes overall.
Dometic fridges that have no adjustment (use factory pre-set t-stat) can be affected by movement of thermistor.
Having thermistor in mid position on far right fin is best using the for temp sensing. Make temp adjustments using the temp control on upper panel
You mentioned it is in a slide out..
Installing a 'fan' in outside compartment will help improve draft air flow.
Simple 12V DC computer fan install center line mid position above absorper tubes (lower slanted tubing) with ON/OFF switch and 1A in-line fuse.
Per Dometic
NOTE: The operational range of these refrigerators is 46° to 35° ± 3°F
As a test of cooling units capability.......remove thermistor from clip and hang it down as lower in food compartment as possible.
With it hanging down.....t-stat will not get proper sensing so it will continuously operate electric or propane
Run it for 12 hrs. then check temp (thermometer in glass of water in food section)
After 12 hrs. temp of water should be below 40*F (on that vintage of cooling unit)
Empty food section
Measuring air temp
ETC.
You may NOT really have cooling issues.