I don't know how this works in reality but the submission given in the Supreme Court will be a matter of public record which is accessible for anyone. I'd imagine that an MSP with a mind to push back on any more obfuscation from ministers & MSP's or any lobby groups giving evidence, could refer to it - whether it holds any binding property on those situations to be useful, I've no idea. If they lose, but continue as though men with certificates should be included in policies/initiatives aimed at women, then it's at least useful to know where the thinking comes from & using the judgement to challenge it.
One of the areas I think will be impacted in terms of approach is the Misogyny bill that's been worked on by Helena Kennedy KC. My understanding is she's clear that any misogyny bill should include men claiming to be women. If the judgement goes against Scotgov, I'd like to think it would aid the arguments (and MSP understanding) of why that's inappropriate & the Scotgov failed arguments can have the sunlight from parliamentary committee & (hopefully 🤞) the right outcome on that.
There's a separate debate I think on whether a separate aggravated offence rooted in misogyny is the right way to tackle male violence etc. but on basic principles, I think recognition of the prevalence & significance of male violence against women & trying to somehow target that without disappearing down a rabbit hole on whether actions are inclusive enough to include men, would be a good thing.