Tons of products already have all manner of information printed on them, but only the manufacturer can readily decrypt it.
If companies have a way of obscuring this info to end consumers while still meeting FDA obligations, they absolutely will, as they currently do for things like the information for companies who "Make" products right now, which are often holding companies meant to obscure business relationships.
Oh, and any human readable value will be obscured behind a QR code anyway, so all the humans who already do zero investigation to understand where their stuff comes from will continue to have no extra information.
Strict labeling laws around protected terms is an essential thing because so many people read nothing more than the packaging itself when shopping. All chicken lists "No hormones" as an advertisement despite that being law and no chicken sold will ever have those hormones.