It has no relation to paying interest, only to making transactions with the credit card.
The relationship is that the service and rewards you get are subsidised by generally poorer people who mess up their financial planning.
This isn't correct, rewards and benefits are not 100% funded by interchange fees. They wouldn't be possible without many customers paying interest.
If you use a credit card, but can’t pay it immediately then you pay interest. It’s a trap the less wealthy fall into.