What happens if I remove the wire to the TCC solenoid?

Back in the day, there was no such thing as locking TC. But, the systems were built a bit more robust back then, esp cooling systems, to handle the additional heat. I have no doubt some systems today are built more marginally and therefore susceptible to overheat.

Back in the early 90s I bought an '89 2500 w/thrashed 700R4. The fluid was wasted, brown and the trans was having trouble. I did a fluid swap and unplugged the TCC. It was intended as a beater plow truck for me anyway. I ended up running that truck almost daily to work (30 miles one way), plowing and general hauling duties like that for a decade.

I used it to haul my plow, all my welding/gas tanks, engine blocks, a car trailer with a vintage vette and other assorted gear on it, from the WI to MA. I was afraid I’d get pulled over for being seriously overloaded. I sold the truck a few years later and it’s still going strong- TCC disconnected. YMMV.