I'm not 100% sure of this, but when you do the Nutter, it takes out the computers ability to change the ignition timing and to control the carburator stepper motor, everything else can still work (or try to). The Sol/Vac works either by vacuum or by a signal on the wire to it. The vacuum portion of the sol/vac should still work even when nuttered, unless you disconnect the 4 and 10" vacuum swtches, I think that this kicks up the idle for decelleration or when you use the A/C and load down the engine. The electric portion probably works in conjunction with the electric temp switch in your air cleaner, TES. I'd check that by just unplugging the wire at the Sol/Vac and see if the idle still moves around like before.
I nuttered my Jeep and also got rid of all this other stuff, even though I think some of it still tried to work. The sol/vac, the air cleaner doors and the EGR are the only three things I regret getting rid of.