The Scottish government have not shelved their plans on self-ID, they plan to produce a draft bill by the end of the year and consult on it
www2.gov.scot/Topics/Justice/law/17867/gender-recognition-review
I could not find the SNP manifesto on their website but the article about the GE campaign does not mention it. There is an article by Ian Blackford which is slightly woolly in so far as it is about gender which makes it difficult to argue on the grounds of sex - I do not have a problem at all with people who do not fit their sex-related gender presentation, for example, and of course no-one should face discrimination. But once you pick apart that accepting trans people for who they are means that people with intact male genitalia will be legally female much more easily, and the implications for same sex female spaces and protections, then it becomes more difficult. How do you then legislate for and protect the group of people who suffer sex-based discrimination because they are the ones who are penetrable and impregnatable, who suffer greater levels of abuse and poverty because of this? You have to resort to dehumanising language to explain the group of people you mean, when formally the word ‘woman’ would have sufficed.
In terms of policies to address female inequalities, these relate to domestic abuse legislation (which is not making its way into private family law actions, where the law allows coercive control to be perpetuated even after separation) and child care policies, as far as I can see.
None of which relates to Aimee Chanellor of course.