Your math example does not illustrate the reality that the impedance
change produced by a ~5/8" OD brass pin inserted radially into the
dielectric space of coaxial transmission line can match that line into an
adjacent termination of fairly high SWR (1.3:1 or so), at frequencies as
low as 54MHz.
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It's not intended to.
But I'm sure you are right. Try not to worry about it.
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