First: the payment system is not interested in anything that is not directly related to a specific transaction (further use of tokens sold by the site). Do not forget that the initial initiative to block came not from the payment systems, but from some crazy feminists from Australia, i.e. payment systems are also victims, they just got hit earlier and gave in under pressure. Therefore, it is unlikely that payment systems will show an active interest in the "further life" of tokens.
Second: I do not think that payment systems will want to spend time and money on investigations regarding the spending of purchased tokens and I seriously doubt that they even have the legal right to conduct such investigations.