That's cc propaganda; merchant fraud is a tiny portion of the overall transactions so you'd save more overall if the cc fee wasnt passed onto the consumer. The counter argument is that the aggregate data allows payment processors to ban merchants if they are bad actors. But the counter to the counter is that the level 2 payments work very well in other countries (some with a lot more fraud) and data aggregation/centralized ban power is bad.
I have personally charged back a transaction (not fraud per se, but certainly not a service delivered) in the last month. It's not just about merchant fraud, it's about holding businesses to account in a world where individual consumers are increasingly powerless.