I created a paragraph of text in four different fonts: Arial, Calibri, Lucida sans and Tahoma. Using the straight export from XX to PDF rendered all the fonts as identity-H. Using Print to PDF gave ansi coding for Arial, Lucida sans and tahoma and both ansi and identity-H for Calibri. Exporting from XX as AI/EPS and reading into AI created additional problems as Arial was interpreted as Helvetica, which I don't have on my computer. Saving or printing to PDF gave a mixture of identities: ansi, custom, identity-H and Roman, although Arial was reinstated.
So print to PDF seems the best option, with Egg's alternative for a back-up if a printer should complain
Thanks again to both of you for your suggestions,