My take on CM chokes is that they are best on TV coax to keep energy on the
shield from bringing trouble to the TV chassis. On a transmitting antenna,
the idea is to enforce a high impedance bump somewhere to set the resonant
length other than what it wants to be. That might not contribute to
efficiency even if it prevents the coax from being part of the antenna. If
the antenna is in resonance, there won't be any coax radiation and no Choke
is really needed. My point is, you are best not needing one, but if that is
what you need to put the current out on the wire, or out of the shack. OK.
Of course high gain antennas have a pattern to protect, but does it matter
all that much for anything up to a 3 element yagi? High currents and
voltages on the coax are to be avoided because that is where your loss will
be.