I seriously hope if that's how you saw those interactions you aren't a health professional!
Unless I am misremembering the events as shown in the episode, it’s been a while. Melora didn’t have anything wrong with her, she was a patient in the sense everyone was, and Bashir got on with her on an intellectual level first. After they started dating he came up with the medical solution to her mobility problem, but that wasn’t a health situation.
Only thing I remember with Leeta was all her ‘oh my I have such a sore throat *fake cough* Doctor what do you think’ stuff. Cheesey fifties comedy stuff, and she chased him. Like I said I may be misremembering. I dislike the Serena relationship for bunches of reasons, but one positive excuse it does have is that in all the universe, Bashir and the Jack Pack were almost a subspecies unto themselves...there’s finally literally one person in the universe with experiences he can somewhat directly relate to. Apart from that it’s icky, and I never liked it, the way it was written, presented or it’s continuation in the novels.
The biggest problem of course is that it’s all fiction. Sisko meets his wife on the beach, then again at a BBQ. Romance novel coincidences that are rare in real life. Episodic TV means people have to meet, fall in love, then resolve to never see each other again in the space of 45 mins our time, maybe a week theirs. And these are the big relationships. Edith Keeler is the love of Kirk life after a few days, and there’s the Tragedy of his life as Kirok. We can’t apply real world norms to some of these things....we don’t live on space stations, and our lif isn’t defined by episodic chunks as such. *shrug*
Bashir by the standards of his time and place just isn’t bad. As a character by the standards of the time and place, he isn’t either. Nor is Worf and Jadzias teen movie Klingon courtship. Or Bashir, Quark etc going with Worf to see Jadzias soul into Sto’Vokor.
I have been something like a health professional, but unlike Bashir, the entire population where I worked wasn’t a patient one way or another. He’s also an officer on board the station. Funny how the Kira Odo relationship doesn’t get sideyed....she’s his direct superior in the militia after all. Some of the Bashir stuff is indeed cringe, but it’s usually the kind where you end up feeling sorry for unlucky Bashir. He even went into holodeck sims about getting shot down in flames it happened to him so often.
But real life, it’s not like Star Trek. Sometimes that’s a bad thing, sometimes a good thing.