Dropping a bar magnet through a conducting coil induces an electromotive force and a counteracting magnetic field, which is a well-established phenomenon governed by Faraday's law of induction.
The claim describes a fundamental and standard principle of electromagnetism (Faraday's law and Lenz's law applied to a falling magnet). Multiple physics education and experimental studies in the retrieved literature (e.g., papers 4, 7, 10, and 11) directly discuss or utilize the falling magnet experiment to demonstrate induced electromotive force and magnetic braking resulting from relative motion between a magnet and a conductor. There is zero conflicting evidence.