I disagree. I don't think it would make for better drama at all. But YMMV. I think it's logical that Hugh has been through a hugely traumatic experience and needs to work through his issues. This is realistic and in a serialized drama, it does need to be addressed rather than just glossed over or forgotten like it sometimes is in more episodic shows.
What I'm having problems with, though, is how the writers are ignoring Ash's very similar predicament. He didn't asked to be captured, brutally tortured and then used as a memory engram on some Klingon spy to hide his treachery. He didn't kill Hugh, Voq did, after he was activated and to preserve his cover. Ash was fighting to keep his identity and sanity and almost lost except that L'Rell basically mercy-killed Voq. So now we have a traumatized decent Starfleet officer who is neither fully Ash nor Voq. He's Ash dominant but still with most of Voq's Klingon centric memories .
He should have been shipped off to a mental facility by now. But due to the story he's stuck trying to circumnavigate his new predicament.
Quite frankly I am surprised that more people aren't sympathizing with how lost and still damaged he is after all that he's endured.
In past Trek situations, the person who was possessed externally and driven to do bad things was ultimately forgiven once he or she recovered from the violation. Why is the same courtesy not extended to Ash Tyler?
This is the beef I have with the writers. They are underplaying Ash's trauma. Like he's being emo and sullen because...rather than going on a bender because he can no longer figure out his place or his identity after the violence done to him.