I think it's more that proof of identity from the union of {payment information, KYC} also includes both of age verification and name, not that name leads to age.
As in, if you're not matching the payment info to your customer info, you (which may be the company or the government passing the laws the company is following just fine) did it wrong.
Because, as pjc50 wrote, failing to do that is an obvious exploit for money laundering.
> If I'm underage, but already have a payment card, the identity of the card matches my name.
And if a gambling site stops there and goes "LGTM", it's not the "union of {payment information, KYC}".
Union, as in combination of both.
KYC, as in "Know Your Customer". Looks like MitID is a thing that would be one way to do KYC? But I've only just heard of it, so belief is weakly held.