I took the neck off to remove all of the shims, and took some measurements.
The neck pocket depth is 0.63 inches (16mm), measured from the bottom of the pocket to the surface of the body.
The neck thickness at the heel, measured to the crown of the fretboard is 0.99 inches (25.2mm).
From the neck heel to the side of the fretboard is 0.98 inches (25mm).
Yeah by my estimation that neck and body are perfectly within fender spec. So as long as you're not using an oddball bridge you should have no issues. That and it looked to me like the nut was still cut fairly high (though I'm only judging from a few photos).
So this guitar should not need any shimming, sanding or the like. Contact Warmoth.