From 2007-2021, the 5.7 Tundra carries the same drive train. Toyota removed the transmission cooler for 2019, 2020, 2021 all trucks. 2007-2018 trucks have a transmission cooler which keeps oil at roughly 205°.

I drove this 2021 truck to Kernville in the summer not pulling a trailer, Temps reached 240°.

This video illustrates pulling a 3k lb all aluminum trailer in cool weather. Not getting over 3k RPMS reaching 250°.