Agree it's much bigger than feminism. But also bigger than safeguarding. It ties into things like evidence based science and policy, medical ethics, identity politics in general, freedom of thought and speech, the neutrality of the civil service and the way liberal democratic states function, and plain old how we talk about true things vs false things.
The effect on women is important, but it's not in the end the measure of the effect this ideology is having. And that's in large part because the ideology isn't just gender ideology, that is a small part of a much bigger set of propositions.
I don't think begging the LP or most of their left political parties to change course on GI will work, because they have embraced, and still unreservedly embrace, the bigger set of propositions - in fact it's clear they think that set of propositions is fundamentally what they stand for.