"Tam/WB2TT" wrote in
:

....
The choke suppresses the common mode signal. There will still be
current flowing on the shield which will have the same magnitude as
the current flowing in the center conductor. You are not throwing away
....

This might just be really loose language, but assuming fully effective
skin effect (which is a reasonable assumption for most practical coaxial
cables at HF):

The current flowing on the outside of the inner conductor is accompanied
by a current equal in magnitude and opposite in direction flowing on the
inside of the outer conductor.

Skin effect isolates the inner of the outer conductor from the outer of
the outer conductor, but current on the inner of the outer conductor may
contribute to current on the outer of the outer conductor depending on
the treatment of the shield at the ends of the cable.

So, a choke formed by coiling the coaxial cable or placing ferrite
sleeves on the cable affects the impedance in the current path of the
outer of the outer conductor and does not directly affect what is
happening inside the coax.

Mind you, this concept is not universally accepted by hams.

In the case of coax, so-called common mode current flows only on the
outside of the outer conductor, and differential mode current flows only
on the inside of the outer conductor and outside of the inner conductor.

Owen