nobody I deal with in RL ever implied something among the lines of "refer to me as ".
Most likely because they’d never experienced someone referring to them by the wrong gender. You can be pretty sure that if someone started doing so, they’d have something to say about it.
Which is what the other commenter was trying to communicate to you. Gender is already a key component of most cis people’s personality - the way they think about themselves, the framework they use to make choices, and the way they want people to relate to them - but it’s not noticed as such, because it’s “normal”, so no-one comments on it and they don’t have to act to assert it.