I'm not that commenter but my business also moved away from PayPal and is using Stripe + Sezzle for transaction processing. It has been about five years now without any issues at all.

Easy example is Stripe. You can enable 3DS, and you can listen for 'early_fraud_warning' events on a webhook to refund users & close accounts to avoid chargebacks and all the associated fees and reputation penalties.

Part of the problem is that not all countries have the same solutions, but credit/debit cards are an easy solution. In some countries that requires 2FA using a government issued ID. It's not 100% secure, people being people and doing stupid things, but it's better. If you're in the US, I don't know, it might not be better. If you can, ask your credit card processor to block cards that's not in the area you serve. E.g. we had huge success in blocking UK and US credit cards from our Scandinavian stores.

In Scandinavia there's also MobilePay, which is much much better, as it is also closely linked to real identities.