He is in that if you place a wire in a stationary magnetic field and didn’t move it and then tried to measure the current you would read nothing, no current, no emf. You only get current when one moves perpendicular toward the other. What he is doing however is ignoring the movement part. If you place a wire in a constantly changing magnetic field(ie a power generating turbine) then you will measure the EMF, current etc.
You’re wrong, too. The electric field coexists with the magnetic field. The two fields are fundamentally and immutably bound. You are confusing current, the flow of electrons, with an electric field. You don’t need movement of a wire to create an electric field. The field already exists. The movement of the wire doesn’t actually “create” electricity in a fundamental sense, rather it is reacting to the presence of an electric field in space and that causes a current to flow in response through the wire.