ideally you want the armboard and the platter to be connected together to maintain perfect synergy to properly navigate the groove. the plinth is the method to do this connecting. so tapping on the plinth should cause noise through the speakers. it's a problem if it does not do that.
OTOH you want the plinth, platter and armboards to be decoupled from the motor and the rack if possible, to avoid feedback from the musical energy and motor resonance.
it's not that complicated.
there are particular designs with stand alone arm-board towers, or custom versions. but these have their own sets of challenges related to this separation. and there are air bearing and air float platter/plinth designs that might not work the same. but the concept of a consistent solid platter-plinth-armboard connection is the ideal. those three have to be aligned and synergistic one way or the other.
certainly all pieces are subject to air borne energy, unless you remove the tt from the room, which complicates things in different ways. but when i listen with headphones compared to my speakers, i don't hear anything different. so the degree of air borne music energy effect is minimal on the platter/plinth/arm. not saying zero, just not relevant to my enjoyment. i do have a concrete floor, good racks, and well engineered turntable designs. so YMMV.