Whoever made the artist entry seem to choose the stacc name as the main artist tag, not even the Twitter handle (which is already rendered in English letters); their profile name is なかぴぽ.
1st, old name -> current name. 2nd, stacc name -> actual name. It's likely it supposed to be read as "rikui" in Chinese (and the Twitter profile is "IK", supported this) even though artist is Korean. 3rd, old name -> current name. 4th, stacc name -> Twitter handle. Artist name is "リン", so it's still okay to use his Twitter handle. 5th, besides "_(artist)" qualifier is a bad idea, there's no trace of the artist went by the name "Ran" anywhere. 6th, unknown whether it was a stacc name or old name. 7th, Twitter handle -> actual name. 8th, stacc name -> actual name. 9th, stacc name -> actual name. 10th, old name -> current name. 11th, old name -> current name. 12th, old name -> current name. 13th, old name -> current name. 14th, stacc name -> actual name.
The artist is known as FoxyKuro in all current pages, including patreon, pixiv, twitter, deviantart, etc. Kuro Kitsune was only used on the artist's old tumblr page.