I think the switch is bad.
From what I can tell, the switch isn't always varying from 24k to 300k unless I wiggle the solder post.
As for the function of the Triac, I began simulating it last night and had issues. From my understanding, the switch in this case would need to supply voltage before the Gate turns on, else, the motor will not turn on until the switch is squeezed more. If that's the case, then the motor would start faster.
I need to measure where the switch engages. From what I understand about Triacs (I've never used them), the gate gets turned on, voltage can be removed from the gate, and the Triac will still conduct until the main voltage is removed.
From what I *thought* I measured, the two on/off portions of the switch don't switch on until the switch is squeezed all the way, however, I believe voltage should be on the terminals of the Triac before the gate begins lowering in resistance.