Ha, that's right, and yes it does.

To the rest of the responses:

The truck is hardly ever driven, the brakes are fine other than this problem. There is no pulsing when the brakes work, only a feeling like an ABS pulsation when I don't have power assist.

I saw posts about the vacuum pump while reading up on how to pull the PS pump, but they weren't clear what the vacuum pump has to do with brakes. The booster is only connected to the PS pump.

I just looked at the booster, it has two high-pressure lines and one return line. One HP line goes to the pump, the other looks like it runs up front to the steering box.