You may not like the inspectors mannerism, but he's right. He could say the LFNC is not permitted under 356.12(1) Where subject to physical damage. It could be interpreted as a need to run RMC within 6" of the unit, then LFNC for flexibility.
As to the label on the panel, maybe the building department wants to be sure that the EC on the permit actually did the job. Ask your boss how he feels about those panel stickers. He might like them for low-cost advertising/marketing.
I'll take a picky inspector over a clueless one anyday.
Dave
