Or look at it this way, are you in debt to your electric company, cell phone provider, or water utility? You use those services but don't pay for them until a month or more later. Technically you are, but I doubt you'd feel the need to prepay for those services just to make sure you have no debt.
In this context of this thread, someone made the claim that credit scores are "an enforcement system to ensure you're constantly in debt." That's an overly-cynical look at it. I see them as a simple risk indicator.
A lot of people have this mistaken beleif that paying more interest on loans will "buy" a higher score. It's just not true.
(Then you can siphon back a fraction of the card interchange fees already baked into the price of goods sold via rewards/cash back. Just another regressive aspect of our financial system.)
If I owe someone $100 then I have a debt of $100, even if I've also got $100,000 in my bank account.