Pronouns are not biological constructs. They don't have chromosomes, genitals, or secondary sex characteristics. They are, by definition, tied to gender.
How would life work if pronouns were determined biologically? For example, how would you figure out what pronouns to use to describe me, if we met in person?
You'd have to ask me to drop trou immediately after we met, which would generally be considered socially unacceptable, or at least a bit forward. But if I did it anyway, how would you know my genitalia hadn't been surgically altered? You could try to cross-reference my secondary sex characteristics, but even those could have been modified hormonally. Really, you'd have to ask for a DNA sample to determine which chromosomes I have, and even that might turn out not to align with the sex I was assigned at birth, much less the one I present today. And what pronouns do you choose if it turns out I have a combination other than XX or XY? It all seems like a lot of trouble and expense for pronouns anyway.
What I'm getting at is that people who make that sort of argument aren't actually saying, "the pronouns I'm using for you are based on your biology". That's just disingenuous, or at the very least shows that they haven't given it any actual thought. What they're really saying is, "the pronouns I'm using for you are what I think you look like, even if it's the opposite of what you tell me you are". I don't see how there's a well-intentioned way to interpret that.
It's so much safer (and easier!) just to take people at their word when they tell you their pronouns, just as you would when they tell you their name.