Nose high while traveling will NOT affect fridge......coolant is bouncing/sloshing back/forth just from being in motion.
Now some overheating can occur whether level, nose high etc IF going up a LONG/STEEP Grade......cause fridge coolant stops flowing
Check Out the ARP Temp Monitoring/Control Device
https://www.arprv.com/products.php
Nose High CAN cause chucking issues due to lighter Pin Weight
Nose High CAN cause swaying issues
Nose High CAN place more weight on rear trailer axle/tires
Best to get truck/trailer weights (CAT Scale) and truck only
Then you can get actual Pin weights, truck rear axle/tire weights and trailer weights
While towing Nose High be aware of 'possible' issues and check if you are experiencing any
Most Nose High conditions typically require trailer sub-frame installs....usually NOT enough Pin Box/Hitch adjustments and still retain MIN 6" Bed Rail Clearances
LCI Correct Track Alignment Kit when installed results not only in being able to align your trailer axles BUT results in a 2" lift of trailer
Sub-Frames require removal of axles/suspension/spring shackles........welding of needed sub-frame tubing onto trailer frame (2", 3", 4' etc) THEN welding shackles back on, re-installing suspension and axle assemblies.
Not real expensive just labor ----find a good TRAILER Shop---not an RV Store/Shop