Retardation causes the repelled negative virtual charged particles to be further repelled from a more previous position of the conduction electron than the attracted positive virtual particles are attracted to, so there is a net virtual electric current. The positive charges in the wire have retarded and current position the same and do not affect virtual currents in the vacuum. Magnetism can be seen as retarded electric Coulomb forces.
The second question is if the speed of the conduction electrons affect the vacuum polarization. It will increase retardation with increased speed, but also have a weaker field due to fewer conduction electrons, for the same electrical current. So in effect only the electrical current in the wire affects vacuum polarization and vacuum displacement currents.