The Strat layout control holes on a Warmoth rear-routed body are not in exactly the same position as on a standard scratchplate - but, I'm not sure if the controls/switch are in the same positions relative to each other - they just might be.
But (again)... even if the holes do line up, you'd be likely to have issues with the switch as it wouldn't be fitting up into the rebate W cut for it.
Short version: No, pretty sure it wouldn't fit.