As a student of law as opposed to a lawyer i would say no.
This application is about domestic constitutional law.
And not an application that brings in to play Human rights international law, by virtue of all the treaties that we as the UK have as duties.
It asks of domestic law what the Equalities Act means by the word sex.
It is the roll of a dice
If as we hope, the Supreme Court rules that sex means biological sex.
That is the end of it, full stop finito.
If we lose then the FWS will have to start again and make an application under relevant treaties about women’s protections at the first court in Scotland, and follow it back through to the ECHR.
That would as a matter of law affect all of Europe which probably Needs to happen.
If they win and the definition of sex in the Equalities Act is confirmed as biological sex then we can have a fucking legal field day.