Problem with the cordless is as the battery weakens speed drops unpredictably and the holes get a little rough. I use a 14.4V HD makita occasionally and it does work. I have been using a Milwaukee corded 3/8" that spins at 2200rpm for bigger projects with more screws, works great, kind of a barbell though. I just switched to a pneumatic drill that spins 2400rpms, works even better for plywood and softer hardwoods, not so good in very hard hardwoods as speed drops under load.
Regardless of the drill I use they all seem to work better when I use the dust port on the jig. It really gets the chips out of the way so the drill can push forward.