It is absolutely the test that is run if you have a private (what you're calling "OTC") paternity test done, because again, the statistics are established to a degree that they are legally and scientifically valid and the sort of thing you're talking about has never been statistically validated to a degree it can be used in the legal system (and, barring scenarios like this letter where it would be done for familial peace of mind, 80% of kinship testing is to establish kinship for legal purposes).
The sort of kinship mapping you see from 23andMe or Ancestry is probably, eventually going to be statistically and scientifically valid enough that it will wind up passing the legal standard of admissibility at some point, but it isn't yet, and it's not going to be anytime soon until and unless they publicize their algorithms and they're reproducible and validatable, which they aren't right now. (And the other reason forensic genetic geneology has never progressed beyond a few high-profile headline-grabbing cases, aside from states having passed kneejerk laws to prohibit labs from using it, is because the vast majority of labs that tried it realized that it didn't do a damn thing to actually advance the investigation because genetic kinship and familial structure are two entirely separate concepts, but that's a whole 'nother digression.)
no subject
The sort of kinship mapping you see from 23andMe or Ancestry is probably, eventually going to be statistically and scientifically valid enough that it will wind up passing the legal standard of admissibility at some point, but it isn't yet, and it's not going to be anytime soon until and unless they publicize their algorithms and they're reproducible and validatable, which they aren't right now. (And the other reason forensic genetic geneology has never progressed beyond a few high-profile headline-grabbing cases, aside from states having passed kneejerk laws to prohibit labs from using it, is because the vast majority of labs that tried it realized that it didn't do a damn thing to actually advance the investigation because genetic kinship and familial structure are two entirely separate concepts, but that's a whole 'nother digression.)