Does TPMS have any connection to BMW traction control?

No it does not. There’s a wheel speed monitor sensor (that works via a magnet and little ridges… and is a pain to replace). That’s what the DTC (and probably ABS) uses

Thanks for the answer. Safety shouldn’t be lame and repellent.

TPMS, at ~400MHz, is a potentially valid input for traction control in certain cases, and potentially, a road quality and location signal as well.

Once all the data is available, tested, analyzed, and applied, there isn’t going to be much left to do but smile, smile, smile.