Ludwig Olson's book "Mauser Bolt Rifles" has a fairly extensive section on Mauser Sporters and lists seven patterns of Type S Mauser's. The differences in patterns is related to sights, triggers and barrels. All patterns share the same features; 19.69" barrel, stocked to the muzzle, schnabel fore-end tip without cap, pear shaped bolt knob, steel capped pistol grip, hard rubber butt plate. There is no reference to variations in stock.

I would suggest that Type S Mauser rifles with stocks not to the muzzle have been modified after leaving the factory possibly for the reason given of better racking of the rifle in vehicles.