Carmel reprised the role of Mudd in the “Animated Series” episode “Mudd’s Passion.” In that episode, Mudd happened upon some pheromonal crystals that forced people to fall in love, and Spock becomes emotional and passionate with Nurse Chapel. However, when the love potion wears off, the users are afflicted by several hours of intense hatred. Mudd is eventually apprehended and forced to go through rehabilitation therapy. In terms of a straightforward “Trek” timeline, this was the last we saw of Mudd.
Of course, Mudd was also a villain in “Star Trek: Discovery” several decades later. “Discovery,” however, takes place about 10 years before the original “Star Trek,” and the younger version of Mudd was played by Rainn Wilson. This version of Mudd was far more insidious and murderous, rather than just being a comedic criminal buffoon. This is a character who discovered he had a time-travel widget and used it to go back in time and murder people before the timeline resets, allowing him to kill the same people over and over. This was hardly the sexist goofball who dreamed of an ex-wife robot. The young Mudd appeared in two episodes of “Discovery” and one episode of “Star Trek: Short Treks.”
It seems that Mudd’s Bar was once, long ago, Mudd’s attempt to go straight. Presumably, he underwent the therapy suggested to him in “Mudd’s Passion,” and he exited determined to be a successful business owner. As far as we know, at least one of Mudd’s bars survived … as a seedy hangout for criminals. The character’s illicit background caught up with him, even after death.