Every country has couple, if not dozens, of payment processors. Most of them will support foreign customers as well. So you have hundreds and thousands of options here. Bottom line will be that they are all essentially the same when it comes to functionality and pricing because they are the middlemen between you and visa/mastercard/... and not much else. So there is very little variety possible in this little space.…
Outside of the US this is not true at all. There are plenty of ways to transfer money without touching the CC networks but instead use interbank communications. iDeal, Klarna, SEPA: all fixed pricing instead of percentage based fees. It depends on where you want to provide your services.
I think you meant "not entirely true". Yes, there are other options.