But we cant ignore the reality and lived experience of trans people to pretend they dont have very specific discrimination and that it's not ok.
Yes, but the word discrimination means different things to different people.
For example, as has been mentioned up thread, KJK said in a video that landlords should avoid renting properties and employers should avoid giving jobs to people who identify as trans. This is unfair discrimination by legal standards and thankfully the law doesn't allow for this. Whilst KJK speaks a lot of sense on many things, I think she disappointed a lot of people with this video. There was a thread about it at the time and I was one of many who said she'd gone too far with these comments.
However, there are people who identify as trans who will stretch the boundaries of "discrimination" way out of shape when claiming to have been unfairly discriminated against. For example, apparently excluding transwomen from women's sports is unfair discrimination.
Technically, on a legal level, it is "discrimination". But the key point here is that it's legally permissable discrimination under the single sex exemption in the Equality Act. It's not unfair. It's an example of why the single sex exemption (or legally permitted discrimination) is allowed. When TRAs cry foul at this, it exposes their discrimination against women's right to fair sport. Ditto for other single sex exemptions, such as changing rooms, rape crisis centres, prisons and other places where we legally "discriminate" by sex.