@OP no - you're not talking in general terms. Your talking about your experiences and extrapolating. I am sorry to hear you've had a rough time but I and many others on this thread have not had the same rough experiences as you. So to say you are talking in general terms is not right.
I've had male and female doctors, radiographers and nurses. For my current pregnancy I've had a female and male obgyn. Honestly both have been wonderful, kind and sensitive. My baby will be delivered by a male doctor in a week or so and he's been so caring and just a bloody nice bloke. And good at what he does. He has shown no less understanding of the female body than my female obgyn had when I was seeing her.
I've had 2 lots of (non intimate area) surgery in my life and both surgeons were male. The most serious surgery was carried out by a man whose work was amazing. I didn't like him and I'm not sure many did like him but blimey is he good at what he does. I don't think my dislike of him was due to him being a man. I'm sure there are women out there with a similar bedside manner. But ultimately he did an outstanding job of what I needed and I would go to him again if I needed to. Which he said was a real possibility. My other surgeon was also good but not as competent although much nicer. I was awake for that surgery and he was super sensitive to my needs. The work he did was OK but I would have had misery guts surgeon a million times over because his work was better.
My smears have always been women although I wouldn't mind if it were a man. I've had female radiographers for mammograms although male for other things that involved being naked from the waist up. All amazing and caring and delicate and sensitive.
I've had hundreds of bloods taken by men and women and can't recall any difference between them except they've all been very nice.
I didn't like the female nurses on one of my post-op recovery wards but they were overworked and likely underpaid so I took their crankiness with a pinch of salt.
I have been sexually harassed and suffered mild assault as have many women but never raped or come even close to that level of awful abuse. So maybe my experiences are based on different perspectives too. I think the important thing here is our previous experiences can colour our current and future ones and people should be given the opportunity to make choices based on that. But that's just my 2p worth. Again, not generalizing except to say we are all different with differing needs.