The GM two stroke diesels were uniflow engines, where air entered the cylinder through ports in the liner, and the exhaust left via the poppet valve in the cylinder head. I think that the Foden two strokes may have been similar.
The Roots blower was purely to provide "blow down" for scavenging, rather than supercharging.
The Commer TS3, Napier Deltic, and Rolls Royce K Range engines, and possibly the larger Leyland engine (intended to power a Tank) by having opposed pistons operating in the bore, used one piston to control Inlet , and the other to control Exhaust. timings
Since the induction air did not pass through the crankcase, and specific powers were higher, a separate lubrication system was used.
The Rolls Royce C Range, and Perkins engines, that ran on gaseous fuels were not diesels, they were four strokes and used spark ignition. Most of the components below cylinder head level, other than pistons and rings, were common with the compression ignition parent.
SAAB two stroke petrols used a separate lub oil supply system, I believe, which allowed higher powers.
The Trojan and Sachs two strokes used a piston in a connected cylinder to provide scavenge air, (as did the Perkins Duplex – a two stroke diesel which never went into production). Quite a few two stroke diesels, used stepped pistons to provide scavenge air, but these were usually low speed units use for marine propuslion.
I can see no reason why, for low specific outputs, oil could not be admitted into the Induction tract under the Throttle for a Gas engine. (basically that is what the loop scavenge two stroke does by adding oil to the petrol).
Howard