The function of the rf-conductive core body has also to be taken into account in the radiation process. Capacitance to the core from different portions of a winding (or windings) has to be taken into account, as well as possible core body and screen current paths.
A shielded bobbin core, on the other hand, specifically indicates the employment of a sleeve structure with a controlled gap, whether SMD or through-hole. This controlled gap is where the filled adhesive is present.
RL