Thanks for your AviSynth procedure file!

I had looked around for a plug-in to handle "ringing" or, more accurately, "edge-enhancement haloing" (that's sharpening done the wrong way). The only one I could find was DeHalo_alpha() and it required allot of experimenting to get a feel for what it does when it's variables are adjusted. Using it for chromatic aberration correction, I came up with this ..
http://originaltrilogy.com/forum/topic.cfm/THX-1138-preservations-Italian-Cut-available-see-1st-post/post/625888/#TopicPost625888
When applied to haloing caused by edge-enhancement, I made a demonstration (the post just after the above one) on a very obvious example. It wasn't eliminated, but it was reduced. Certainly worth consideration as very little bit helps.

Yeah, the paint program sharpening is obviously poor in some areas. I definitely wasn't suggesting using that. :D Here's LimitedSharpen() applied to that same screenshot, before & after ..

.. with this setting -- LimitedSharpen( strength=250, overshoot=0, exborder=4 ).