TL;DR: The "pay off balance within the month grace period" works only if you are on top of it all the time. Miss something even once, or you move or are overseas or something, then their penalties, fees and everything else kicks in.
Again, it's a Loan, so all the operations and consequences of taking on a debt applies to credit cards, and to you as the borrower.
If you think about how many people using the "maxed out CC" as a loan because they cant get anything else, the financial model looks rather sound. The interest rate on those things is drastic if you are no longer in the grace period, and its an easy trap to fall into, especially if you are falling on bad times or are simply gullible.
I dont think people who have their CC balanced at the end of the month are the business model. They are in the business of providing high interest loans.
If you pay off your card every month, the credit card companies consider you to be a bad investment, and they even have names to describe customers like you -- "deadbeat", among others.
A customer paying off their full balance means little risk yet they still make the 1-3% processing fee.
I understand you are referring to Cashback "Rewards" but at the end of the day, a credit card is still a Loan.
You are borrowing money from the company to pay for goods and services and for all legal purposes you are a debtor.