Yes, what I meant is that I would be okay if it were branded as such rather than calling it Quattro. To me quattro means you use Torsen diffs, full time AWD.
Would you also rename the VW Passat 4Motion (B5 generation) the "VW Passat Quattro"? How about the Phaeton and the Tuareg? Because they all have Torsen differentials instead of Haldex system.
IMO, "Quattro" means "Audi AWD," and "4Motion" means "VW AWD."
Going back to the "too bad this has Haldex instead of a Torsen differential" system, I've read that the Torsen differential system requires a more forward mounting of the engine, which results in typical Audi nose-heaviness. The transverse engine mounting and Haldex AWD in the TT gives it a much better front-to-rear weight distribution.