Shares aren’t created unless the company issues more right?
I should also add that it's not the case that the bank "no longer has" the money lent out. The bank doesn't actually move money from some depositor to the borrower. The bank credits the borrower's account with money created from nothing, and it feels comfortable doing so because there is the asset backing it. The Federal Reserve doesn't have to be directly involved at this stage. It allows banks to do this as long as capital requirements are satisfied.
This also doesn't occur with shares, you either own the share to lend or you don't? There are no new shares created only loans on a fixed amount of shares in circulation unless the company issues more shares, right?
It's not the same as company issuing a new share since there is no voting right and there is no SIPC insurance. But in all other ways, financially, it's as if the brokerage created a new share. Real share owners can lend again, so one real share can leverage into any number of outstanding synthetic shares. The only thing holding leverage in line is the margin requirement, and how many people who lent real shares want their loans back.
This is exactly how loans from banks work. You took money from the bank and bought a house. You now do not have enough money to pay back the bank, but the bank doesn't mind, because they only care about the contract that says they will get their money back plus interest.