I think the relativistic approach should be heard. If the current and voltage are both thought of as observers of an event; i.e., the voltage starts to rise and then "sees" the electron start to respond; the current rises, and then "sees" the voltage rise.
There is no cause and effect here...both effects happen simultaneously. It is only with relativistic effects that either event appears to have happened "first." Newtonian physics and mathematics, and the calculus based upon them do not work perfectly for anything involving electrons.