Do you know how many campaigning groups get govt funding? Probably any one you can think of in one way or another.
This is true, the funding itself isn't an issue or a sign of undue influence. Although I do think that we should stop funding Stonewall now that it is so anti women's rights.
As for a:gender, iirc it has contributed as an advocacy org to studies and reports alongside other orgs like Mermaids, so it's not just an ordinary workplace social/support network.
What is interesting is the timing: it appears that intersex people were organising with trans people and cross-dressers in the civil service around the same time when some intersex orgs were issuing fairly strongly worded statements saying that they didn't want to work with trans advocacy orgs as the groups have very different needs and aims. It's a bit like Gires in that sense.