Does Web Based Printing Make Documents More Secure?

I've been paying attention to the Google Cloud Print project at Google Code. With Google Cloud Print you can: Seem like as a business owner I would be able to temporarily open up my printer for a client, vendor or customer and allow printing. Then the person printing could send a document straight to the printer without actually sharing any digital files.

Would this make documents more secure?

I could send only printed copies to someone I wanted to view my document. Since it was transmitted over the web, the document transmission could be logged showing that a single print copy license was delivered to this business at this address.

Seems like it could add a new layer to secure document sharing.