If u dont ever get close to 200-210, then I would say that is "not hot enough". Maybe that is wrong. Without a gauge though, the world may never know.
My stocker never got over 146 degrees in the Texas summer. That is a reading from just the obd port. So +\- 10 degrees, and I really dont care which sensor point or location is better, moving on.
now with the bts and 6.0 cooler i have seen an increase of 164 while cruising on the hwy, reading from the same port/scanner. Ive been told elevated temps are to be expected with a modified trans. Maybe that is wrong, idk.
I hope this can help the op with his injector question.