I’m not entirely against calling it frying, in both cases you have heat transfer by immersion in a dry liquid as contact medium, as opposed to heating with infrared radiation (e.g. toaster, many kinds of spits), direct contact with no or little contact medium (hot pan with no/minimum oil, waffle iron), using water (which is wet) as contact medium which invariably makes things soggy instead of crispy and thus very different, or directly moving the atoms in the food (microwave).

That is: If you have a look at all the different ways to transfer heat into things then frying and baking are actually darn close to each other in the first place, compared to the rest. It’s the reason you can definitely make a passable calzone in a pan. And air frying in particular brigs baking into the frying range of crispiness so I’d say fair is fair, you can fry with air as long as you make you air mean enough.