Yup, and monitoring IAT with a scangauge will tell that tale, too.
I was actually somewhat surprised by what I found. In my car, the air filter and intake duct is built into the plastic engine cover and the whole deal is surrounding the cylinder head and valve cover. I expected heat soak with the engine stopped, and indeed it does. But after restarting, within a couple of minutes the IAT is indistinguishable from ambient temperature.
Plastic doesn't conduct heat well, and additionally there is insulation with a reflective material applied to the underside of it where it is otherwise facing the cylinder head. It heat-soaks from engine heat when there's no airflow anywhere, but once it's running, evidently whatever heat makes it through the reflective layer and the insulation layer and the plastic of the housing itself, isn't enough to make a meaningful difference.
Perhaps a different design might let the engine draw in cooler air for the first couple of minutes after a hot start ... but that isn't enough of a benefit to interest me.
I suppose the aftermarket intake ducts don't need to be taken off in order to do anything with the engine underneath (e.g. spark plugs) ... but the stock intake duct is only attached with a couple of screws and a couple of hose clamps; removing it to get to the spark plugs once ever 100,000 km is hardly enough of a challenge to bother doing anything about it.