Wikipedia defines magnetic induction thusly: “Electromagnetic or magnetic induction is the production of an electromotive force (emf) across an electrical conductor in a changing magnetic field.”
So basically using a changing magnetic field to create voltage in a conductor. While it is true that induction occurs in a brushless motor as a secondary effect (the rotating rotor induces back EMF on the stator coils), the primary mechanism of movement is a magnetic field physically acting on permanent magnets - no induction involved.
This is distinct from an AC induction motor, about which Wikipedia says: “An induction motor or asynchronous motor is an AC electric motor in which the electric current in the rotor needed to produce torque is obtained by electromagnetic induction from the magnetic field of the stator winding.”
Basically in an induction motor, induction is a required effect for the operation of the motor, rather than a side effect as in a brushless motor.
So while induction occurs in a brushless motor, if induction could be magically disabled the motor would still work. This is not true for an induction motor.