@wabiwalden @benross But most well-meaning people _are_ transphobic. You're proving the point.
And the words 'man' or 'woman' do not refer to sex by any reasonable standard. These words are _far_ too caught up in social gender dynamics, or phrases like 'man up' or 'a woman's place is in the kitchen' wouldn't exist. These things (and many others besides) have nothing to do with one's genitals, hormones, or genes.
Some people instead propose that 'male' and 'female' are the words to refer to sex, but I'm not convinced that works, either.
And in any case, what's the harm in saying 'trans men are men, trans women are women'? Why exclude trans people from these categories? What benefit does it bring any of us? I can name many harms for _not_ doing this. Is it for some semantical purity? The problem with that is that words are made up, and we decide what words mean.
(Never mind that the people who insist that 'man = adult human cis male' can't provide a definition that includes all people they mean to include, but excludes all people they mean to exclude. Source: See the quoted text above lol. It's all made up, and we can elect to define our words such that they cause the least harm.)