I am watching a video on how a crystal radio works. It's very nice and I get the gist, there's a bit on tuning that claims that if you have (see picture below) a wire connected to earth from both sides, and you move a magnet next (in blue) to it (so Farady induction law is happening) there will be no current through the wire (in black)
The video is https://www.youtube.com/watch?v=0-PParSmwtE&ab_channel=RimstarOrg (see 1:10)
Why would this be true? The induction law is $$ \nabla \times E = dB/dt$$ so if the magnetic field is changing we have EMF around the coils which should be moving electrons.