But typically with a much smaller number of turns. A motor coil should have a decently high inductance and thus act as an antenna only for pretty low frequencies.
It is not the number of turns that matters to distinguish coil antennas from motors, though indeed a high number of turns in both motors and antennas leads to a high inductance, which ensures that any resonance frequencies will be low, so a received radio signal of high frequency will not be amplified by a resonance.
The magnetic circuit of a coil antenna has a very big air gap, because its ferromagnetic core usually has the form of a cylinder or of a prism and the magnetic circuit closes through the air between the opposite ends of the core.
The magnetic circuit of a motor has only small air gaps between stator and rotor, which are required to allow the rotor movements. Because of the small air gaps, the inductance of a motor winding is much higher than the inductance of a coil antenna with the same number of turns and using a ferromagnetic core made of the same material.
