I'm not the previous poster but I will try and put my two cents in as a 'trans inclusive' feminist. I have tried to engage in good faith in some discussions previously and been accused of being a man, a handmaiden, a sealion, a troll, a sockpuppet and more - open debate is certainly not what I've experienced but here we go. I am a woman, of the born with a vagina kind, and I am aware of Glinner, Maya F, Karen White, Yaniv, queer theory, self ID, and other issues often discussed here - I have read a lot of discussions here without participating out of interest, so I don't believe I'm coming from a place of ignorance. I'm active on Twitter and see the conversations that take place around this on there, too.
OK, first off: I don't think that unisex/mixed facilities are a problem. I do think that cubicles and private spaces should be provided for those that do. The single sex exemption exists in the equality act to deal with this on a case by case basis. But I don't think the Staniland question is the gotcha people think it is. Does a man have a right to show his penis to people who don't want to see it? No, of course not, sexual harassment/assault/abuse is wrong whoever is doing it, be they trans or natal male. But in a situation where nudity is par for the course and expected/accepted, such as a communal changing room or gym, I do not think seeing a penis in and of itself is problematic. I think, in my opinion, that much of the opinion that is is comes from entrenched ideas in society around sex, bodies and shame, and I think non-sexual nudity makes people uncomfortable in a way that really, it shouldn't. I don't like British attitudes to it, or agree with any religious/cultural sexualisation of the body and nudity in situations where it isn't that. However, like I said, private facilities should be on offer for people who need and want them in addition to mixed spaces.
That leads to self ID: trans people have been using changing rooms/toilets etc of their chosen gender FOR DECADES, without a GRC or surgery. It's only now that a term has been coined for this, and, in my opinion, a bogeyman created. The vast majority of sex crimes are done by men - natal men, not trans women with penises. Yes, some trans women with penises have committed sex crimes and mistakes have been made under this policy e.g. Karen White. You'd be hard pressed to find a trans person who agrees with the handling of that case, or thinks being trans is a hall pass to sexually harass or attack anyone.
What is a woman? I believe a woman is someone born female or who transitions. I do not think trans people LITERALLY change sex and morph into women like a pokemon, and neither do most trans people. They are aware of their bodies and biology. Some choose to alter this any way they can/want to, others do not. I am happy for trans people to be treated as women in public policy and life. What about people like Danielle Muscato? OK, this is where I do feel there are outliers that it is harder to sympathise with, but I think these are largely vocal extremists than representative of the general trans population who just want to live their lives.
Medicalisation and detransition: detransitioners clearly deserve and need far more support - trans people generally agree with this too (Charlie Craggs says so herself in a documentary she made for BBC Three in which she meets a detransitioner). But I don't think they are a reason to ban all medical trans healthcare. Given the waiting lists and requirements needed to even access this healthcare, I don't believe young people are being fast-tracked into it - how can that be the case when even getting a first appointment takes years? I accept some people feel they were pushed into making the wrong decision and this is absolutely valid. But so are feelings of young people who believe they are trans. More support for EVERYONE to ensure the right decisions are made is what is needed here. The current system is clearly not functioning properly.
Is it transphobic to not want to have sex with trans people? No. Lesbians who've never been with male-bodied people, I understand exactly why they wouldn't be attracted to a trans body. But I equally don't think it's wrong to examine whether prejudice has led to any sexual preference - this could be about race, weight, hair colour etc. Nothing happens in a vaccuum, and examining this is not the same as pressuring people into sleeping with someone they don't want to (which is clearly wrong).
Non-gendered language: I think much of this (people with periods etc) is done by organisations falling over themselves to be inclusive, rather than trans people directly asking for it, but equally I don't see a problem with phrases like 'women and people who have periods' or 'women and others with a cervix'. The word 'woman' is not transphobic and again, I don't think the vast majority of trans women are clamouring for it to be removed from public information, but it is a minor change to make such literature inclusive of trans men as well. They might be a minority but these are also issues that affect them. I do think it is odd that we don't see 'people with penises' or 'people with prostates' in the same way, and literature aimed at men should be updated to match.
I think I've covered some of the main points of discussion there but if there's anything I've missed I'll try and answer more.