What kind of temperature increases we talking here hundreds of degrees, hot enough to change the tolerances of steel accelerate wear of seals designed for thousands of miles in hundreds of miles?
Sounds like a great theory might apply to a formula car doubt it applies to a low power, low stress RZR.
I have seen others comment about rear differential temps on this site so on my last trip I kept track of my rear diff temps after doing something high stress I got out held my hand on the case was just slightly warm.
High stress meaning like climbing up "P" mountain in Parker AZ or running 40-50 mph for 15 miles in soft sand gravel.
I have been slightly over filling my manual transmission transfer cases and differentials for 30 years majority of these machines see over 200k miles never a problem, well I did change one rear axle seal the other day that was leaking but the rear axle is a 1976 and it was the original seal, one rear axle seal on my 1987 school bus was weeping so I over filled the rear diff for my last 5000 mile trip and it quit leaking all together.
I guess if my stuff had 800 HP and I drove them 200 mph I might find different results.