Sure; that was exactly the kind of case that previously led me to edit my comment to add the "for the vast majority" qualifier. Similarly, bank payments are popular in European countries because there are convenient wrappers around them, if you're only selling to certain countries.

Along the same lines, I qualified it as "online businesses" because there are still some brick-and-mortar businesses that require cash. It's still limiting your business, but less so, especially if you're in a context where people expect many businesses to be that way (e.g. a farmer's market).

But for online businesses that aren't country-specific, which I'd argue is the vast majority of online businesses? You accept credit cards or you get a lot less business. (And the next-most-popular option, PayPal, does even more of this kind of thing than Visa and MasterCard do, and much more capriciously.)