On one hand I agree with you, but on the other... I don't really want to live in a world where being oneself (a perfectly fine, good self) is a liability.
I know I have privilege in being able to say this, but I'd rather get rejected by potential employers who don't get me, than have to pretend to be someone I'm not.
Being oneself is fine. Being too online may not be.
The phrase “too online” has a connotation that situates it in the 2020s or at worst the late 2010s to an extent that I don’t think really fits a degree of “online” you could have been literally before the invention of the Web.