Credit cards create credits (a liability). Debit cards create debits (a nearly immediate transfer from your account). Seems accurate enough to me although I can see how debt and debit could be confused.

But no:

When your account is credited, that means you gain money. That's the definition of "credit."

So yes, you are creating credits for the credit card company, against you. What you are gaining is debt/liability. Which why it's weird for it to be "your" credit card.

If I have a Chuck E. Cheese game token card, that doesn't mean I owe Chuck E. Cheese tokens.

No. “Debit” isn’t “debt”.

A credit card offers you credit.

credit: noun An arrangement for deferred payment of a loan or purchase.

A 'debit card' is one where funds are debited from your account. A 'credit card' is one where you're buying on credit.