You can easily damage a persons reputation, make them unemployable or social outcasts, create an environment damaging to their mental health without any proof. Believing that the public will dismiss claims, just because you stay that there's no proof is rather naive.

A Danish newspaper at one point falsely claimed that a named person had raped a child, with no evidence. The only way that person escaped public judgement was by going into full attack mode and publicly suing and attacking the newspaper and the reporter. You have to be an incredibly strong and resourceful person to do that and not just go into hiding. Also one thing is suing a Danish newspaper, imagine the legal team, the resources, you face if you're trying to take Google to court for defamation.

If instead of scammers, it was 'registered sex offender'. Each time someone search your name and surname in Google, it show a picture of you next to the words 'registered sex offender'. Do you think your neighbours and the parents of your child's friends will do their due diligence or will they prefer not take any risks?

There are a lot of people who consider no ai to be a positive state. So "you will receive nothing" may not be perceived as the threat you think it is.

If it is shown to millions, everyone who is interested in you, they are factually not fact checking and you can do nothing against it.

It can destroy you. You are analyzing this on the assumption that people are rational and have capacity to do the check. They have neither.