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No. If you unplug the clutch connection, naturally, the clutch will no longer energize to turn the pump..
But the ECU also sends this very same electrical signal to the Air control valve SOV . [ parallel circuit].
This SOV , when energized, allows engine vac flow to actuate the AIR Flow Control valve between the
the pump output and the engine..
So, if you do not BB the vac
line , this valve will still open [ even though the pump is off]when the ECU calls for AIR system activation. {One could also unplug the SOV electrically. but once this is done , the inactivity of the SOV will have a tendency to gum up in the closed position]

The BB in the line works well and can be changed back to stock by simple removal and re-plugging of AIR pump connector....