I think using any abreviation to describe the home console is stupid. People need to stop being so fucking lazy and just type out "homecart" or "console". It's less confusing and doesn't cause any stupid controversy.
Now I know people will argue "what about MVS, that's an abreviation too?" MVS is different. MVS describes one thing, and one thing only the arcade hardware. SNK has slapped MVS on everything from the cabinets to cart labels.
The term AES is accompanied with anything Neo Geo. You will find "Advanced Entertainment System" on everything from the home console, to the Neo Geo CD, and a Captain Tomaday mini marquee.
Therefore, one cannot logically associate "AES" with the home console alone, since it is used to describe Neo Geo as a whole, be it any of the Neo Geo hardware.