I’m not familiar with any savings accounts that dont permit you to take money out whenever. You might mean CDs, which will, as per the agreement, assess a fee against you if you take it out early. But you still have title to the cash whenever you want. It’s yours. And if a fee happens, the fee is still money that is now owned by the bank instead.

Down the line you suggested depositing money creates money because now you and the bank have a dollar. That’s not true, because the bank doesn’t have title to the dollar.