Referring to a person by a name they made up instead of their real birth name, especially when referring to them by this new name is meant to give legitimacy to the idea that the person is no longer who/what they actually are. For example, if a person is male but wants others to think of him as a female, he might change his name to Caitlyn, and demand to be called Caitlyn, demonizing anyone who calls him by his actual name. He wants you to fakename him. If you do not, he will say that you are "deadnaming" him, a term used to manipulate people into feeling guilty for being honest.
Bruce said "Hey, stop calling me Bruce! Call me Caitlyn, to show that you fully agree with the idea that I'm a woman. Do it or else you are not a good friend. Just accept me as being anything I claim to be!"
His honest friend said "But that would be fakenaming you, and it would make it seem like I agree that you are a woman. You are not a woman, so forcing me to call you by your fake name is forcing me to lie. Forcing me to lie is not something a good friend would do. Just accept me as being honest!"