Cecil,

A choke consists of an inductance in parallel with its stray
capacitance. It has only two terminals.

Its loss can be represented, either by a small resistance in series
with the inductance, or a very high resistance in shunt with the
inductance and its shunt stray capacitance.

What you mean by 1/4-wave and 1/2-wave resonance I have no idea and,
in any case, has nothing to do with how the extremely simple circuit
behaves.

The best thing to do is to forget the whole thing and find something
else of greater consequence to argue about. smiley
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Reg.