Yes, I guess I wasn't clear: it's a product if it is exchanged - at all. At any scale. (There was a missing 'any' in my original statement.)

You can sell a single product for an enormous price, you can sell 1,000 products at a low price - the only thing that matters is that the two parties agree to conduct the exchange at any scale and, most importantly, that it actually occurs.

Common to both high-end scale and low-end scale scenarios, is that the exchange occurred and all parties agree to it. That's the only thing that makes something a product - the exchange.