Remember that the coil wire is insulated with a very thin layer of plastic or lacquer, which you should not remove.
The only places you should get any continuity readings are at the stranded connecting wires themselves or at the soldered joints between those and the coil wires.
Depending on the motor design, most or all wires may show some continuity voa the coils, or there could be two separate sets of coils with no direct connection between them. There may also be two wires connecting to nothing but the thermal switch, or that could be internal and part of one of the coil connections.