I tried every fluid in my '02 before finally rebuilding it. You should run what the factory specifies in a factory trans. It honestly works better than the aftermarket stuff.
I had terrible shudder with all the synthetics. Going to ATF+3 worked best, but was grabby. A little lubegaurd and that seemed to be the best compromise.
I now run straight ATF+3 and it works great. Of course, there are different components than stock inside the case as well. And this includes the seals too.
There is more "slip" or friction modifier in ATF+4 than the +3 stuff, so you'll have to use your best judgement.
I agree with the DTT line. It's an older model (96?) hotline with a DTT braided line that replaces the factory rubber unit. It's a direct swap and gives you a place to monitor true trans temps. In the hot line.
You could put a sender in the case, but this will be way off. Or in the pan and it'll always be low and or much slower to show an increase than the outlet line.
Dave