How do I get the links here (barring one Discogs and IMDB) to not say “as Eos Chater”?
And for the Appearances, you have to go to the related works/recordings/releases (click them one by one) in the “Title” column. Then you click the edit tab / pencil 
icon / empty the credited as field.
It shouldn’t matter, but personally, I would wait until the merge is actually completed before I change some of that stuff.
And, just out of curiosity – why are you merging a person with a group?
The merge is complete, and I’m not merging a person with a group. I merged Eos Chater with Eos Counsell: https://beta.musicbrainz.org/edit/46920981
Then I must have clicked the wrong thing before. It looked like we were changing eso into bond