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A moving electron *is* different than a displacement current
between capacitor plates.
The physical effects produced by 'displacement current', although
admittedly real, are not quite "in the same fashion as conduction
current". The only similarity is that both of them, written as 3-space
vectors, seem to formally act as sources for a non-longitudinal magnetic
field.
I think it was Maxwell who first called it a current.
Einstein also named 'relativistic mass'. I don't think it's a good idea touse that
terminology either.