I don’t think I’ve ever seen over 155-160°F in my 5R55E or 4R70W, but I also drive like a *****.
In the winter, my 4R70W struggles to get the fluid over 100-110 on really cold days. Regardless of temp, they both seem to target 130 after a long stint on the Highway. Factory aux cooler, nothing special.
I wouldn’t bypass the radiator unless you no-kidding live in the tropics where it never gets cold.
As for shudder, on the 4R70, a fluid change usually takes care of that. You can try it on the 5R, but there’s always that argument about changing fluid in a high mileage trans. I believe in it, but that’s up to you.