FYI this is general info for you
@LC200JG. Not sure how much will help but I figure it can't hurt. Most/all of this is based on the 6-speed, but I believe it applies to the 8-speed as well. I'm going to post this info, then I'll comment in a second reply
There are two temp sensors for the A/T. One is in exiting the torque converter (when the temps are the hottest) and the second is somewhere on the return and/or in or around the pan. I'm going to refer to these as the TC and pan temps, though I'd have to go look at the transmission diagrams to figure out exactly where in the path they lie.
Fluid from the transmission is pumped through the cooling system (exiting the torque converter, through the external cooler, then into the radiator cooler, before being returned to the transmission pan) by the engine. High RPMs will pump fluid faster. More on this later.
The LC transmission will generally run in the 180-195F range under normal operations. 195F is the normal engine operating temp, and because A/T fluid goes through the radiator second that ensures it's always at least at 195F when you're driving once warmed up. You could add a dozen external coolers before the radiator and they would do nothing for you so long as the oil temp coming out of the radiator is ~195F. The only things you could do to further reduce A/T temp are (a) reroute the lines to skip the radiator (which might leave you running "dangerously" cold in the winter), or (b) run in a lower gear (or 4L vs 4H) in order to get RPMs up and pump more fluid through the cooler faster.
Anyway, you'll sit around 180-185F in both the pan and the TC if you put the vehicle in park and leave it running for hours. That's no load on the transmission of course. If you drive for a bit you'll see the pan normally runs around 195F. The TC will get hotter anytime the TC is not locked, though how much hotter depends on the gear, speed, ambient temps, and general transmission load. In most cases normal driving will put it temporarily around maybe 210F at peak, but it'll cool back down into the ~195F range after a couple minutes if your TC locks up. If you climb a mountain pass and the truck downshifts into 2nd or 3rd (on the 6 speed... probably ~4th in the 8 speed) you might see it get into the 230-240F range during your climb. Most people don't see that unless they're towing though.
The A/T temp light in the dashboard comes on at 305F and goes off at ~270F, IIRC. Or maybe it's 275F. Anyway my perception from those numbers is that Toyota believes anything under 270F is not a big deal, since the manual pretty much says the fluid is lifetime for normal driving (not towing, not heavy offroad), but if the A/T light ever comes on you do need to change the fluid. To them 270-305F is the questionable range... if you got to 305F then the A/T will do things like force your transmission into a lower gear to lock the TC and force fluid through the system faster (higher RPMs!) until you get down to 270F. (Note that anything over 240F concerns me for any length of time, but I'm not a Toyota engineer and they probably do know best).