Genuine NOS Rolex leather straps

[sprezzatura]

Is this an authentic Rolex strap? I know that the new generation straps - say, the ones for certain PM Daytona models - are stamped a certain way, but has this always been the case? If these are of a certain vintage, to go with the "retired Rolex watchmaker" story, who used to make them in those days of yore? Were they also stamped "Swiss made" then, at any rate?

http://www.ebay.com/itm/141135972318?rmvSB=true