Sure, which implies the money I store in the bank is debit they owe me. But worded that way I might be induced to think I deserve some kind of interest payment...
It doesn’t just imply it, that is exactly what it is. The bank is loaning your money out and then some (multiplied by whatever the current reserve ratios are). They quite literally don’t have the money you deposited, but just owe it back to you if you ask for it. That’s one of the ways a bank makes money.