“It’s as if you were asking for examples of burger joints that don’t deal in cheese.”
So, all cases of FRB are cases of lending. Why not just call FRB lending? Why call it a form of deposit banking at all?
The same reason you don’t call a burger joint a cheese joint.
It’s really a semantic thing…with the 19th century gold standard form of fractional reserve banking, you bought a certificate redeemable for gold. You weren’t really “depositing” at all. It’s a shame Rothbard shifted the focus to that word, which is actually nothing more than a semantic issue. Nobody had delusions of those notes being the same as retaining ownership of the physical gold they deposited. They wouldn’t expect, if they’d scratched their initials in a coin, to get the same coin back later…unless they’d put it in a safe deposit box.
If we had ANY kind of free market in money, today, though, it wouldn’t need to follow that old pattern, the one that we use when discussing free banking.
You could truly go to a modern bank and “deposit” gold, if we had a free market and the bank dealt in gold. The bank still could lend it out, as long as it did so openly and notoriously…because it would simply be acting like a mutual fund that offers you instant liquidity. You hand them a dollar’s worth of gold, and you don’t even get a note/certificate back. The gold simply becomes part of your electronic bank account. Frankly, you’ll probably never, ever even touch a piece of gold money, except for novelty. The only time I ever touch paper money, today, is when I’m handing out allowance or pulling my emergency wad from where I have it concealed on my person, perhaps to buy an expensive fish whose purchase I don’t want my wife to see on the bank account…or maybe for some actual emergency, as it’s intended.
Really, free banking today would be exactly like the banking we do today, except it would be consensual, and the Fed would be replaced by private lenders of last resort and private deposit insurance companies, and the money supply’s growth would be limited to the discovery of gold. Anyone who visualizes people using either gold coins or physical gold notes in the 21st century is pretty goofily naïve, akin to thinking we’ll all go back to organic gardening for all of our food and riding around on bicycles (which, sadly, some people do hope/expect).
Even in the disastrous event of state-mandated full reserve banking and a government-fiat gold standard, most people would never bother to touch gold, or certificates, except in exceptional cases.