While I have no problem with HRT on principle, I don't think it should be OTC. I don't think Viagra or the Pill should be OTC either. Let me explain.
1. If a woman only has one or two more severe symptoms of menopause, it may be preferable for her to start medications designed to treat those one or two things, rather than everything. Some women may not be aware that there are other medications that can help.
2. For women who still have a uterus, HRT usually involves both estrogen and progesterone. I do not know what the protocol is now, but I recall reading when I was in graduate school that you can't give unopposed estrogen to a woman with an intact uterus. It can cause endometrial cancer - cancer of the uterine lining.
3. Some women have other medical issues, such as hormone receptor positive breast cancer, for example, that make it unwise for them to go on HRT.
4. In terms of men, the issue I have with Viagra being OTC is that there are a number of potentially very serious health issues that can cause erectile dysfunction. Seeing a health care professional provides an opportunity for discussion and testing to rule out these issues. Viagra may help a man out in the bedroom, but it isn't going to do much for his soaring blood sugar due to diabetes or his clogged arteries. (In the latter case it could even cause serious harm. If men have taken Viagra or related medications within 24-72 hours or so, depending on the medication, they can't be given nitroglycerin or related medications for cardiac related issues. Their blood pressure can drop dangerously low.)
5. In the case of the Pill, I'd want to have a serious discussion with a young lady. Why does she want to go on the Pill? (Not all girls and women take it for birth control.) If she has issues with her period, it may be important to figure out what those issues are. For example, there are some types of synthetic progesterone that are not recommended for women and girls who have polycystic ovary syndrome (PCOS) because they're known to elevate male hormones - which are often already elevated in PCOS. If the birth control is to treat acne, what's her skin care routine? Has she tried anything topical? What has she tried? If it's to prevent pregnancy, does she know it doesn't prevent STIs? Either way, does she know it can cause blood clots and strokes? Does she know the signs and symptoms, and when to seek help right away?
All of these are potentially very serious issues, and some people may not be aware of them if they don't have a health care background.