First let me say that they can be very accurate with or without the bedding screw. Most wood stocks change slightly with significant changes in humidity. Your perfect tuned pressure today may be significantly different in the future, so what have you gained? I have also read or heard that the bedding screw also provided something of a recoil lug. There may be that slight effect, but it certainly was not the primary purpose and had it been it probably would have been a different design.

Elmer Keith stated that he and three or four other guys designed the Model 70 ( I expect there might have been input from Winchester's folks also, LOL). But the point I want to make is most, but not all of Keith's subsequent custom bolt guns did not have a bedding screw.