The hell it won't. If the camming surface contacts the receiver , on closing, before the cocking piece contacts the sear, you will have a rifle which cocks entirely on the upstroke. In recent years, more and more, I'm seeing 700's which have ZERO primary extraction and they certainly do not cock when the handle is lifted. Once the extraction camming surface is located as it should have been in the first place, lifting the handle starts extraction to a substantial degree AND the cocking piece is moved back far enough that the rifle will cock whether or not the bolt is withdrawn any further. GD.
Sorry, but the primary extraction cramming surface as you call it has no effect on cocking. The cocking force is entirely the result of force applied to the cramming surface cut in the bolt body. That is all rotational via the bolt handle.
