After seeing TOS - Mudd's Women again, I'm actually interested in that they mention in the episode that Mudd was caught for some pretty egregious things in his past and as part of the sentence underwent psychiatric treatment (effectiveness diosputed of course.)The Sarek/Spock stuff, and Mudd being in it, I just prefer a cleaner break, not shoehorning in connections to existing characters and shows

COMPUTER: Offense record. Smuggling. Sentence suspended. Transport of stolen goods. Purchase of space vessel with counterfeit currency. Sentences, psychiatric treatment, effectiveness disputed.
The point is: Maybe he was a bit nastier in his 'younger days' (IE 1o years earlier); and the psychiatric treatment did have some effect to make him the 'lovable rogue' he was in Kirk's time - but he may not be so 'lovable' in the ST: D time period (IE They have wiggle room to make him a slightly different, yet still very interesting character for that story.)