Reading through this thread is one of those times when I feel truly gaslighted (gaslit?)
Given all the different types of sexuality Stonewall has defined (and given that probably close to 100% of us would qualify for at least occasional demi or grey label, and probably most of us, if we reach old age, end up asexual), what is supposed to be the kind of sexuality that wouldn't be covered by Stonewall?
Walking around our tongues hanging out and salivating for every passer-by's body? Being willing to have sex with anyone against the next street sign?
The need for lesbian and gay rights movements comes from the historical legal mistreatment of gays and lesbians everywhere (prison sentences) and their current mistreatment in several countries (where in some, such as Iran, death is a possible consequence of being caught with same-sex partner).
There has never been legal punishments, as far as I know, for being asexual, and many of the examples of being treated rudely given in that report are because health care systems treat all women poorly.
And in the wider context women have been viewed as a sexual and reproductive resource, the allocation of which to various users etc. has varied, but has seldom been based on what lust particular woman might have felt and towards whom. Men who regard themselves as asexual have traditionally had many more ways of not having sex imposed on them (priesthood, military etc.) than women because they have had more control of economic resources, while in the past women's survival depended on marriage and on a handful of rather poor alternatives to it.