A family of Microsoft word processing software products for creating web, email, and print documents.
While there is a statistic for the date a document was last printed, I have never seen a statistic for the number of times a document had been printed. It is inconceivable that it would record the number of copies that were printed at the one time, which can actually be set in the printer driver rather than in the Backstage Print view.
Also, if it was printed to a pdf printer, how would you know how many times the pdf had been printed?
Aside from all of that, when you transfer a file in the manner described, that is to be expected as they become a new file on the destination computer.