Well, it seems to be getting something. I can't remember my exact fault code but I was getting 0 ohms from sensor 2. My pump was a bit of a science experiment and had a different hat than a factory RS3 pump. I had to make some changes to the wiring coming over from the driver's side of the tank. I can't imagine that would be the case with EQT.
If you haven't already, I would try throwing a half gallon or so in the tank and see if those resistance values change to make sure you're actually getting a good signal. Alternatively, you can also pull the passenger side 4-pin connector from the underside of the hat and make sure sensor 2 falls to zero. I'd also wiggle the lever on the basket sender and make sure it's sending a value as well.
Does the tank say it's completely empty or is the needle just stuck? Since you're getting some reading, it's probably not electrical/wiring and I'd guess something is hung up.
I will say I am not envious of your situation. I've done 425, 525, 535, and now RS3 pumps. I've probably had to take the basket back out once each time because of some intermittent issue with the level sensor. If I ever sell the car the pump is going with it.