This is similar problem I had in mine old 99.5 vw jetta before I sold it, had abs light solid, and blinking brake light, I couldn't connect with ABS module at all using original vagcom, I wasted money on everything that everyone was pointing me to do, I had abs module fixed , didn't work, bought used unit from junk yard and same issue, someone suggested cluster was an issue, replaced that nothing helped, then I got help from friend that had same model and year and we swapped parts to test it, first we tested the cluster abs light and brake light was there, then we swapped with his abs module, lights on dash were gone, at that time back in 2001 only option for me was to buy new abs from dealer, bought it installed it and problem solved.
I have strong feeling that abs module faulty, even thou module master fixed they don't run it or test it if it communicates or if even responds , someone told me that it is possible that abs eeprom module got faulty, some power surge happened and damage the abs eeprom module and file got erase possible I don't know, if your cluster was faulty you would have more then abs light on and brake like on, usually all the lights light up if cluster fails.
Try to contact local junk yards and see if you can find these parts and at least you should able to return them in case they don't work