The thing to remember is that an air fryer is a convection oven. Convection ovens are similar to traditional electric ovens except for the fan. And my air fryer doesn't have a bottom heating element.
Convection ovens run at lower thermostat settings. Where I'd set a regular oven to 450°F, I'd set my air fryer to 400 (which is as high as it will go anyway). For 350, I downscale to 320. The cooking time is also typically shorter.
My wife has cooked chicken parts in the air fryer and been very happy. It's not big enough to hold a whole chicken, so on that I cannot say. But broadly speaking, air dryers excel at cooking frozen foods and should conversely not be used to cook things that boil or spatter.
Aside from the energy benefits, one thing I like about my
unit is that I can make up biscuit dough and freeze it, then when I want 1 or 2 biscuits, pull them out of the freezer, set the thermostat to about 350 and time to around 8 minutes (I have a wind-up timer, so not very precise). They puff up wonderfully, though I usually like to flip them for the last minute or 2 just to get browning on both sides. Speaking of biscuits, I need to make up a batch of oatmeal cookie dough. I have a pan that I can bake a cookie in at 320°,
So while cast iron is cooking with inertia, air frying is mostly the opposite. Little or no pre-heating or retained heat.