Having said that, I can see a case for payment systems to start transacting in existing cryptos, so long as they can satisfy the regulators. They already do that with different real-world currencies. When you have a card in one currency and a business charging you in a different currency, the payment processor does automatic conversion between them for you. With cryptos, everything works the same way, except there may be a crypto-exchange in the middle. The payment processor just needs to guarantee the delivery and some stable exchange rate.
Admittedly, these are not pure crypto transactions. But businesses can already do those directly over blockchain. The major thing stopping them is that there are few other businesses who would accept crypto. Hopefully, payment processors adding support for cryptos could move everyone else to broader adoption.