Yes. I just don't think that an absolute sex based segregation does that. It implies that Vagina:Good, Penis:Bad. As the mother of both a daughter and son I hate that. And I think continued emphasiss on it will only serve to damage everyone.
So for example in refuges, I think a blanket ban on transwomen working in them is wrong. There are many women who I defintely wouldn't want to be working in refuges, both trans and cis (and pls don't get arsey about the use of that word - it has relevance in situations when we are talking about the difference). An interview process enables unsuitable people to be weeded out, based on their unsuitability as a person not based on what they have tucked into their pants.
I do actually belivee that any person should be entitled to ask to not be treated medically by any other person. We can't make indiviual people be undiscriminatory, we can legislate so those discriminations are not enshrined in law.
I had a male midwife during one pregnancy. He was amazing. Best ever. There was a women who had refused to have him examine her. And that's ok. if an individual feels uncomfortable with another individual when it comes to personal care, they should be allowed to refuse them, as long as they accept that may cause repercussions for them such as having to wait for someone else to be available.