I've known about this for a long time, and used to wonder about it a lot. Specifically because I would randomly get ghosted before a date despite doing everything I know to prevent it (such as maintaining communication before the date, setting up the date 1-3 days away, keeping it laid back, low investment, etc), and I started to suspect this was the case.
But now I don't give a fvck. At the end of the day, women gossip, it's all they do all day, so there's nothing you can do about it. But, it might be worth asking a female friend or family member you know to go on them and see if you're on just so you know about it. For that reason, it's honestly not a bad idea to avoid giving women your last name early on.
I don't think bad publicity would hurt but women will just say anything about you even if its not true. They're not going to call you a fvckboy (which all women want even if they say otherwise) they're going to call you a narcissist, if you have boundaries, they'll call you "controlling", etc. And god forbid you don't fvck them well, because women CONSTANTLY talk about sexual experiences with men in great detail, all women do this.
Either way, who gives a fvck. Any women stupid enough to check stuff like that isn't worth interacting with anyway. Gossipy women are toxic and useless.