I saw this argument over on Twitter earlier today too, and I’m not sure where’s its originating... frankly, does it matter? Buy the one that has the form factor you want and cooks the way you want to cook. When I see “counter-top convection ovens” they are large things that take up a ton of counter space, but have limited functionality and capacity. Meanwhile, the “air fryer” I bought is a lid on my Instant Pot, which means I’ve got 6 quarts of space to “fry” things they way I want. It’s been a fantastic addition for us to quickly whip out fish and chips without gallons of oil and mess.

Edit: Suppose I should mention I have an in-wall convection oven in my kitchen as well. It does “fine” but frankly sometimes I’m cooking for a large enough group that I need both the convection oven and the Instant Pot air fryer going at the same time. Plus, my convection oven takes forever to come up to full heat, so often the “Air fryer” is a better choice in terms of capacity and time.