I just did a similar repair myself this weekend on my 05 V8 SE. I too opted to remove the TB rather than drain coolant - huge time saver thanks to OP! For anyone else in the future, I followed the Starter replacement section in the 2003 FSM.
Had a shop replace the starter a few weeks ago, then the dash lit up like a Christmas tree. Cheap diagnostic tool threw a P0328 code for Knock Sensor 1 Circuit High Input (Bank 1). According to FSM that is actually a code specific to the 1-GR V6. The 2UZ will either throw a P0325 or P0330. Anyway, had a hunch and was correct. The wires were torn loose from the 2-pin connector that attaches to the knock sensor. Pretty sure the shop did it when replacing my starter but I can't prove it.
I ran to oreilly's and picked up this pigtail:
https://www.oreillyauto.com/detail/c...or/odi0/400114 listed as a "2 Terminal Fuel Injection Connector" OReilly's part no 40-0114. The wire with the new connector was a thicker gage than the lead from factory harness to factory KS, so I snipped down the length of the new pigtail before soldering onto the factory harness to hopefully avoid throwing the computer off due to higher resistance from thicker wire.