teacake, yes, the procedure is usually that the papers are printed and piled up by machine, and then bound in bundles usually wrapped tightly by wire, by different machines. When they're delivered to shops or bins, someone will cut the wire.
The top and bottom papers are usually warped or torn by the wire and may well have been touched by delivery persons. But there's a strong chance the ones in the middle will never have been touched by human hand. Unless, as you say, other customers have been touching them; but most customers do what you do, take the second one down from the pile.