Earlier quoted context omitted.
I really wouldn't trust 'picked up off the shelf' detection, not without the whole thing looking like a giant vending machine. RFID tags on products probably works better.
RFID has some privacy concerns, since the tags continue work when you are outside the store and somebody can scan what you are carrying. Using these as EAN barcode replacement also has the problem that the system can't tell if you bought the product from Amazon GO or if you just happen to be carrying it with you when you enter the store.
Maybe you could use it to make some guesses about a person. An older guy buying frozen dinners, beer, and not much else is probably single or divorced. A woman buying prenatal vitamins is probably pregnant. Someone buying both Special K and Fruit Loops might have a family. But someone can already make these determinations from using their eyes. RFIDs might make it a bit easier but don't really add any new infosec facet to this grocery store experience.