No, what makes you come across as a "bad person" is your total unwillingness to see or understand that just because YOU don't want to talk about menopause, doesn't mean that everyone else has to shut up too.
Menopause is a life event like puberty, like childbirth, like bereavement. It has an impact. The fact that we know about it and can talk about it, for a start, means we can actually do something about it AND the more the medical establishment feels the pressure of women wanting to do something about it, the more likely it is that we'll get a tiny dribble more of the huge amounts of medical funding that currently mostly go towards researching medical issues that affect men (or that affect men and women, but the research focuses on how they affect men).
HRT has changed my life for the better. I was really struggling but I honestly just thought it was life - two children (one with additional needs), work stress, serious financial worries, elderly parents needing additional support and all of this during Covid/COL crisis etc. It took an older female family member pointing out that so many of the things I was struggling to do were things that I used to be able to do in my sleep and that I really should go see a doctor to make me realise that maybe it WAS something that could be helped.
A few months later, I had a similar conversation with a woman who seemed to be where I had been.... and a few months after that she approached me to thank me because she just hadn't clocked the link and she was now on HRT and feeling so much better.
Also, I don't know this program, but it seems to me, that if a dog really helped this lady, that's a brilliant premise for a show - lots of people don't want to take HRT, or can't. Or perhaps they aren't ready and there's a good chance that for many of them, getting a dog might help them too. Perhaps they'll think about it after watching.