It can depend on how the resister pack might fail! The idea is that the speed knob changes the path throughthe resisters in the pack so that more or less resisters are inline to slow the motor.
Yes the function of the pack is to control the speed by adding resistance but if it breaks, that is the full blown resistance and nothing passes!
If the wire for the main line breaks, you get NO current flow and no motor at all.
This is kind of a common one that shows the coil springs that are the resistance and as each one is put inline, the motor speed changes. This is often somewhat easy to spot as it is setting in the cover of the heater where the air flow moves over it and about the only group of wires in that area.
If you can find the pack and figure out where voltage goes to the pack, then you need to look at the pack and see that the power gets to the wire where it comes out and to the motor. Sometimes when you pull it out, you can spot a wire that is broken.
Hope that gives you a few ideas to check?