Letters to the Editor
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In the US the law is rather unsure of this point
In many states if the man believes himself to be the father and later finds out he is not, then legally it makes no difference, he's the father, financially at any rate. In terms of legal rights, the courts are a little vague on that so far.
So if determining parentage is important for you to decide whether to sue for termination of child support, that's an uphill fight. If your driver is whether to sue for more visitation, well that's more or less been decided already.
The only role this can have in most states is whether you do or do not have grounds for a divorce with cause e.g. one that does not require a year of legal separation first. And in the 7 or 9 states which still have alienation of affection laws, it could possibly mean you have grounds to sue your soon to be ex wife's new man or ex-new-man civily for damages.
If you're a bunch of primates on Maury and you have 3 kids by 3 different men and you're pregnant again and you don't know which of the last dozen or so guys you banged is the father and all of them have gaggles of bastards by different skank hos, then what's really the difference? Everyone involved is still going to be ghetto/trailer bride scum.