As someone 15 years your senior, perhaps you are misunderstanding what I am saying.
You said, "I've been asked to call them". So have I. That is called normal human behavior. Everyone has a name and it is just common to ask what that name is and call them by that name. That's not a problem. And that is NOT what I am talking about.
What I am talking about is people who change reality and then demand, without my asking, that I refer to them by something that defies science, reason or even proper grammar. And if I do not read their minds to know whatever ever pronoun they invented I am a hater.
That is the definition of a narcissist. Narcissists live their lives trying to control and manipulate other people into doing things they don't want to and to do this they manipulate the situation to make them feel bad for not giving the narcissist what they demand.
Inventing some fantasy gender and pronouns for that gender; then demanding I comply is narcissistic. In uber leftist places, like NYC, there are laws against not using someone's preferred pronouns, despite this being in direct violation to one's free speech rights.
They and them are plural, not singular. It is improper grammar to refer to a single individual as they or them. Except in England when referring to royalty, but we're not in England and those who have invented new genders are not royalty, despite their demands that we refer to them as such.
There are only two genders. This is not some old fashioned idea, this is biology. Gender is not a societal construct it is definable by genitalia and chromosomes. Behavior is somewhat a societal construct but not entirely. If someone wants to behave in a manner that is different than what society more or less expects of them, then as long as that behavior does not harm, of any kind, to themselves or other people then that is their choice.
What no one is free to do is to demand that other people comply to their behavior. Another person can ask, just like you said in your comment, and then choose to honor their request.
If your name is Steve and you ask me to call you by Steve, I am within my rights to call you George instead. I wouldn't because that, in this scenario, would be your name. It is your name, even if it is a very bizarre and strange name or even a name that is very hard for me to pronounce. I make a concerted effort to try to pronounce someone's name correctly if it is hard for me to pronounce.