My other thought here is to add axle oil coolers. They are mandatory on my Deere 544 machines.
Were here in Pittsburgh, PA where we range from 10° to 95°F and axle coolers are now mandatory unless the transmissions are hydrostatic.
My 544G machines have a single wet friction disc per side, and the axles ran warm, but lasted quite a while between brake seals (7to9k hrs on average), and, never have I done bearings yet (all three of my 544G have over 22k hours now).
My TC54H came to me with new brake design (6or7 wet disc per side) and would eat carrier and pinion bearings before the 3k hour mark. Rebuilt both axles several times, and dumped the machine before 10k hours.
My 2 544J had the same multidisc brake axle but a different brake valve, and, the brake would become non-responsive after 3hours of running, due to unknown...until, the dealer determined that the axles were getting too hot. Added axle oil coolers and a recirculation system and have never looked back.
My 544K has axle oil coolers, recirculation, and spin on axle oil filters. I've never touched the axles, save for oil changes...using Deere Hygard.
Me thinks you need axle coolers, not thicker oil.