I've used the Kinkos version of this. It installs as a normal printer driver, so you can print like normal, then you head to a Kinkos location, type a code into the printer, and it prints off your documents. Pretty nifty.
Thanks. The long term vision would be to create desktop and mobile versions that install like a normal printer driver, so you can print from any application (not just Chrome). And you could use it to print at any nearby store location, regardless of whether it's a Kinkos (do they still exist?), FedEx Office, UPS Store, Staples, or whatever. So if you live in an apartment in New York and there's a UPS Store across the street, why would you waste any of your 600 sqft on a printer when you can just print directly to the printer in the UPS Store?
Just wanted to mention that I am fully aware that printing isn't exactly the sexiest industry or product. HN, IH, Product Hunt, etc. are generally in love with AI at the moment. And printing is about as far away from AI as you can get.
But there is definitely a place for a product like this. Especially if it operates at the OS level, as you mentioned.