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I'm for keeping thing the way they are because of the conceptual nature of
the labels. Capacitance is the capacity to store charge--bigger
capacitance, bigger capacity.
Secondly ... coax has a certain inductance per unit length
and a certain capacitance per unit length.
But this could also be a source of confusion. As a coax wire gets longer,
the inductive reactance increases, but the capacitive reactance decrease.
Thirdly, consider the analogy between an LC circuit and
a mass on a spring. ...
The way I've usually seen it is
L d2i/dt2 + R di/dt + (1/C) i = f(t)
L -> mass
R -> drag
1/C -> spring constant
Once again, using C' = 1/C seems pretty logical and consistent.