Drysump systems in general, do not use stock type anything. The Hobart-Eaton system I used is a partial exception in that it is mounted in the stock location on the Ford-Kent blocks in some cases. To the front cover, driven off the front of the jack-shaft, in others. The best systems, ie, V8,etc. type engines use exterior mounted pumps, commonly belt driven (Gilmer type , toothed belts).
A stock pump is designed to pump OIL, and not much else. Drysump systems contain SEVERAL pump sections, including one, two, three or, more SCAVANGE pumps designed to move air/oil at a high suction rate. This keeps the sump virtually DRY and, in well designed systems, maintains a vacuum in the engine(of course that depends on blow by and leak down rate). In some forms of racing this can be a critical issue, ie big American V8's (they have been known to leak a bit from rocker boxes etc.) From the scavange pumps the oil goes to the oil
tank/de-aeration system where the air is allowed to bubble out and the oil has a chance to 'rest', thence to the filter(s) and cooler(s) and to the pressure pump (often it may also be multi stage). I have seen one system that had SEVEN pump sections, scavange and pressure.
Most every engine builder has his own system, I have only done the Lotus/Ford type systems with two scavenge and one pressure pump driven by the jack shaft. I saw a single suction system used, a la Formula Ford, but under heavy braking the oil was forced away from the suction hose and tended to "climb" the front cover/chain galley . Two (-)12 suction hoses at either end of the sump and two scavange pumps cured the problem.
There is a lot more to it, but thats the basics.
Rod