Washer filled partially then stopped. I filled it the rest of the way manually and the cycle finished fine. If I provide current directly from the wall to the inlet valves, they open just fine.

Thanks for the reply, bro. That made sense to me so I went down and tested it by blowing into it to make the diaphragm click and measuring continuity and it seems to be behaving fine. The switch also seems to be doing its job if I fill the tub manually. So, it still won't fill on its own, despite the inlet valves working if I apply electricity right to them.