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To give it the benefit of doubt, it's possible it saw a circuit labelled "kitchen" in the panel, and then in photos of the kitchen saw mixed outlets.

(I'm not in the US - would a 'home inspector' actually go around buzzing out outlets anyway?)

They won't necessarily map out all the circuits but they will generally test them all with a tester to find wiring problems.

Yes, most will at least test GFCI receptacles especially in the kitchen. I bought one to test my basement after a renovation.