I'm not sure why you keep insisting this is true. Here's Apple's official statement about refurbished products:
https://store.apple.com/Catalog/US/Images/apple_certified.html
Each Apple Certified Refurbished Product:
is fully tested (including full burn-in testing).
is refurbished with replacement parts for any defective modules identified in testing.
is put through a thorough cleaning process and inspection.
is repackaged (including appropriate manuals, cables, new boxes, etc.).
includes the operating software originally shipped with the unit and the custom software offered with that system. See each products "Learn More" for more details.
is given a new refurbished part number and serial number.
is placed into a Final QA inspection prior to being added to sellable refurbished stock.
Refurbishment procedures follow the same basic technical guidelines as Apple's Finished Goods testing procedures.
I received a 'new' refurbished iPhone that was badly scratched on the display (which I immediately returned).