Being a fellow large newt user (gso 12” f4) and having the dreaded ring issue, I will make a hasty bet that it is shifting primary/secondary with sky position especially if paired with bad light pollution, meaning the illumination and reflection profile (esp with the CC) is not consistent between your flats and the mirror positions on the sky for the lights.
Characteristic of some of the above and that I have noticed in my own images and many threads is often a profile with a darkened part of the ring on one side and a raised on the other.
I once read a thread where someone mentioned testing and artificially shifting their well corrected flats over a few pixels before calibration and being able to reproduce this ring issue from a previously flat and well calibrated frame.
You can test what is moving by presenting a laser collimation tool in drawtube and potentially hanging a weight similar to your imaging train off that laser. Slew or move the scope around the sky. If the laser centering on the primary moves around, it’s the secondary changing angles. If the return to the laser collimator moves around but the center laser on the primary remains fixed, the primary is shifting. Edit: another thing you can do is take 3x light frames in L (if mono, just a sensitive channel) and IMEDIATELY take some flats at the exact same sky position, calibrate, see how the stack comes out. It may be better corrected than previous attempts, which is what I saw. Can link a cloudy thread I made if it’s helpful.
It’s something I suggest exploring or ruling out, as I have spent hours looking online to find out about the issue and so many of the threads end up there. I also considered upgrading to the Paracorr from the nexus to fix the issues, and I am sure there would be an easier illum profile to correct, but I can’t convince myself it would solve every issue immediately as I found people with the ring issue and the paracorr online. Aside from that, flocking the inside of the tube both for increased contrast and to cut out on reflections as you already did. Adding an m48, flocked extension tube or similar to the end of many CCs to cut out on stray light entering the CC can help, as is ensuring a dew shield or half sheild prevents light from directly entering the CC from not the direct sky on the short newts is useful. I have done all of that, yet still have issues (tho reduced, and need to fashion the more permanent dew shield). I am moving to a 24” dovetail and additional ring, potentially reinforcing the drawtube to OTA region, replacing primary squishy pads with delrin, etc to combat the issue and finally have an ocal to image the relationship between the mirrors while at different sky positions in the next few weeks.
also, my issue is severely reduced under bortle 4 skies versus my home location of bortle 8. It’s still present for me currently, but much closer to correct without excessive local LP