If you complete a run (normal or heroic) with a hero in a certain wing, the completed “crown” mark above the hero portrait will be displayed in the other wings too (for that difficulty mode). The completed-runs counter for that hero in that difficulty mode remains unaffected though.
EDIT: It will also not “check” under the used hero power from a completed run, althogh the “Bosses Defeated” and “Runs completed” counters work as intended. It’s certainly a visual related bug, but still annoying since you can’t be sure which run you have completed and what hero power was used for a certain wing.
Here is a video of my last completed run. The Undermine hero power that was used during that run was not registered after the run ended. You can also see that I have all runs completed for that wing for every available hero, which as stated above, it’s not true.
https://www.dropbox.com/s/t0x9lwkej4ntzwc/Hearthstone%202019-06-04%2011-32-31%20%282%29.mp4?dl=0