What are differences between neodym motor wheels and copper motors?
Because of the limitations of this forum, it is only possible to provide a brief introduction to the types of motors used for vehicle propulsion.

Squirrel-cage induction motors have been around for a long time. Their main advantage is their simple construction. That makes them relatively inexpensive to manufacture and very reliable. The rotating part (rotor) receives power from the stationary part (stator) by induction. The magnetic field in the rotor is produce by the induced current rather than by permanent magnets. All of the electrical power that is converted to mechanical power is transferred to the rotor by induction. In order for current to be induced in the rotor, there is a speed difference called slip between the speed of the rotating magnetic field and the mechanical speed of the rotor. That slip causes quite a bit of power to be lost as heat.

Since the rotors of permanent-magnet motors are magnetized by permanent magnets, no current is required in the rotor and their is no slip. That means less power lost as heat and higher efficiency.

Although induction motors and simple in their concept, there are certain complexities in their design that make it difficult to construct induction motors with many magnetic poles. Speed is proportional to frequency divided by the number of poles. That means that a motor that operates at the wheel speed of a vehicle needs to have many poles or a very low frequency. That makes it quite difficult to make an efficient induction motor for a wheel motor.

Permanent-magnet motors can be designed in several different ways. They can be DC commutator motors, but those are not very good for wheel motors. They can have the magnets on the surface of the rotor to make surface permanent magnet (SPM) motors. They can have the magnets in the interior of the rotor to make interior permanent magnet (IMP) motors. They maybe called brushless DC (BLDC) motors or synchronous permanent magnet (SPM) motors. The difference between BLDC and SPM motors is somewhat semantic, but also a design subtlety.

As you can see, there is quite a bit to study to really answer your question.