I did the same for years. That screwdriver is the only one I still have from that set.
Dawn soap works best. Hot water. Don't fill much over 1/2 full. Jim.I do the same with a Frankford, soap, Lemishine, and steel rods. Typically run about 2 hours. The brass is bloody clean as can be, but the primer pockets are still a bit dirty. Again, I am noob.