@puffyisgood
Please don't minimise the effect of periods and menopause. There is a direct correlation in many sports between the number of hours an athlete trains with the results obtained. A male athlete can train every day in the same way if he wants to, female athletes have to tailor their training around their periods, because at certain points in their cycle they are more prone to injury or can take on greater loading than at other times. They may have to miss days because of endometriosis pain. They may have pregnancy scares or difficult decisions to make about abortion. They may choose to take medication to forgo periods for the sake of training or a big competition, but that can have health consequences, and not all women can tolerate hormonal interventions.
Also, women who have gone through menopause have their own health issues, though of course are less likely to still be competing seriously.
Why should any males be in the female category? The fact that CAIS males would not be able to compete with other males is not women's problem. It's just a sad fact of life - for them. Women cannot compete with CAIS males. What about the women who are bumped down a place, or won't get selected for the Olympics, or who will miss out on sponsorship? Males are excluded from female categories not just because they have a large athletic advantage over females, but also because the source of their advantage over women is the fact that they are male and the physiological consequences which flow from that. Females cannot match males athletically.
Males have an athletic performance advantage over females from birth and CAIS males are no exception. This was proven by the results in individual athletics events. Their bodies are male - just without fully developed sexual characteristics and the turbo boost of puberty. There are other categories of male, eg those with a disability, who are uncompetitive with other men, but they are not then put into the female category. Because they are male. Somehow because the differences are in development of sexual characteristics - irrelevant to athletic ability - some people consider both males with DSDs and women to be in a category of non-men. That is unfair to women and insulting to both groups. For CAIS males, a special competition category in the disability sphere might be warranted, but that would be up to them to decide and campaign for if they want it.
Having CAIS males in women's athletics could be said to have the same effect as the East German doping programme did. Women have had a hard enough time getting their sports off the ground - they didn't put all that effort in for the sake of male people, who are already well catered for. The lion's share of sponsorship and endorsements goes to men already, why should women have to share their tiny proportion with yet more males?
Were Lance Armstrong and Justin Gatlin unfairly sanctioned by their sports governing bodies? The doping didn't make them look too different to their competitors, so I suppose that was all ok?