It seems to me that at least part of the distinction you are making revolves around what is sometimes called pastoral response.
@SmokedDuck thank you so much for putting a proper name to a way of working that I recognise as a teacher of adults. I was one of the earlier cases of an academic doxxed & threatened because of feminist views expressed on social media (back in 2016 ...).
One of the reasons the complainants to my employer said they couldn't go through informal discussion first before launching a formal complaint to get me sacked, was that - given my expressed views - they felt no trans person would be safe on my presence.
What I needed was a succinct way to explain that there is a difference between my personal views, and the way I treat the person in front of me as a teacher & pastoral tutor. I'd call it professionalism: you deal with the person in front of you, and it's not a personal interaction, as such, it's a professional interaction.
Your examples and the phrase 'pastoral response' perfectly explain what I spent 3 months trying to explain to my employer!
It's also what one might like to say to those trans activists who say that any discussion of transactivism, the transgender trend, and the issues around conflicting rights, is "denting the existence of trans people."
It's not. It's not personal -it's an appropriate discussion to have at the level of the law, ethics, and principles by which we organise society so we can all hope to live reasonable lives.
Although a lot of the time, when I hear that any discussion of the broad issues around trans rights (especially vs women's sex-based rights) I want to answer that my sex (and my own experience) has been debated, discussed, denied for millennia. The "position of women" - of our rights, our characters, our 'natural' abilities etc etc ad infinitum have been the subject of male discourse since, ooooh, at least as early as the Book of Genesis ...