@stardustsailor, in layman's terms I would say it like this (since I don't understand a thing you said):
The tip of the cap is being heated directly upon pressing/engaging the coil. The sides of the cap get heated via conduction rising up from the tip of the cap. As the coil on the sides of the cap are encased in glass & do not directly make contact with the sides of the cap, I'm sure the radiant heat that's being emitted from the side coils through the glass is also radiantly/conductively heating the sides of the cap. Not eloquently stated, & if I'm wrong, I'm sure you will correct me.
There's not such a thing as radiated heat from an induction heater .
Coils remain at low temperature.All the heating takes place INSIDE (or should I say "within" ? )
the part that is placed into the induction heater.
"
The rapidly alternating magnetic field penetrates the object, generating electric currents inside the conductor called eddy currents. The eddy currents flowing through the resistance of the material heat it by Joule heating. In ferromagnetic (and ferrimagnetic) materials like iron, heat may also be generated by magnetic hysteresis losses. The frequency of current used depends on the object size, material type, coupling (between the work coil and the object to be heated) and the penetration depth.
An important feature of the induction heating process is that the heat is generated inside the object itself, instead of by an external heat source via heat conduction. Thus objects can be heated very rapidly. "
https://en.wikipedia.org/wiki/Induction_heating