It can generate privacy issues for all of their relatives, depending on who has access to the data afterwards. :(

Wouldn't these same privacy issues come up if someone submitted their own DNA for an ancestry test? And yet, these tests are not illegal.

In France, those ancestry tests are illegal too.

I think that's just an excuse they use. It's not hard for government to do the test, get the result about whether someone is the parent or not and then completely delete the data.

But that's how it happens in France already, and I think people here are arguing for allowing private testing instead?

It's not about what I care about, my question is what is the person supposed to do once they get the results of their private test, and they show they're not the father?

Another issue to me is that they must have provided the DNA of their child to a private entity (probably without telling the mother either) and I'm not sure I like that.

>what is the person supposed to do once they get the results of their private test

The person is not "supposed to do" anything. It's the norm to let people make free, unrestricted choices as long as all parties involved consent. You generally need a good reason to restrict these activities in Western culture.

>Another issue to me is that they must have provided the DNA of their child to a private entity (probably without telling the mother either) and I'm not sure I like that.

In most countries parents are allowed to do all these things. Why change parental rights merely in the case of paternity tests?

> what is the person supposed to do once they get the results of their private test, and they show they're not the father?

Initiate a divorce?