The issue with this is that it enshrines denial of identity in the same place as religion. If a trans colleague identifies a way that you disagree with, does this give you free pass to misgender them and deny their identity? That is cruel, and you would be denying a colleague their right of self-determination. This is bullying.
I'm not saying you should be stricken down for needing time to adjust to their pronouns and chosen name; I'm saying you shouldn't be cruel to them by denying them their identity, and that such cruel behavior should not be protected in society.
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I would turn this entire discourse about "wokeness" on its head, especially the discourse from the pg's and Musk's of the world, and assert that they don't actually care about the way the ideological wind is blowing; They're afraid of the collectivist nature of it.
That many less-powerful people can band together in pursuit of social justice against them, entrenched titans of capital, those capable of steering mainstream discourse, can provide a counter-argument to their power structures, is what _really_ troubles them.
Yes, of course. If you believe that false claims of an opposite-sex identity constitute a harmful lie, why should you be compelled to endorse it?