[0]-American Express and Discover have somewhat different business models, and do underwrite most of the debt themselves. I don't know about foreign systems, but I'm given to understand they are mostly not credit based.
The exception to this is Amex who is the issuer and lender.
But my inference from futurama is very few outlets take discover even in the US?
I should probably write more about this subject at some point, but the GP is of course correct; the credit card networks (except for Amex) generally do not put up money at any point. Each entity in a chain about 5 links long makes simultaneous and very quick agreements about offsetting transactions between themselves, with probabilistic assurance of eventual settlement to the business being "very, very quick" and physical settlement happening in a few days to about a month later. Typically an important step is the issuing bank settling with an intermediary (not the network) who will settle with the merchant bank or payment processor who will settle with the business.
If anything, we should limit seller transaction fees, as I believe the EU does.