Indeed, literally no one is saying people can't use these words if they identify with them either, it's just about using the most inclusive terms in the general

Indeed, literally no one is saying people can't use these words if they identify with them either, it's just about using the most inclusive terms in the general sense by professionals trying to communicate with broad groups that will include edge cases. This isn't even a "gender" issue, saying something like "people with a uterus" when it is the most accurate term helps cis women who have had hysterectomies know it isn't relevant to them. Of course, we should always inspect the impact of words: (e.g: maybe some people won't know their biology to know if they have a uterus, so we should clarify for them if that's a potential case), but the goal of being accurate rather than just making assumptions based on gender is obviously reasonable and beneficial as a base idea.