When I was a kid in the 60s my dad ran 30W oil in warm CA in everything. He changed the oil every 3000 miles. The 30W oil was for the temperature of the area we lived in. Still, the engines weren't clean inside like they are today when you open one up. Maybe that was because the oils did not have the cleaning additives they do today, I don't really know. If an engine lasted a 100K miles before a rebuild you were really lucky. Today they last until the rest of the car falls apart and the engines are still clean inside, so it has to be that the oil is better than it used to be.
When I was 18, I went to work at the phone company fleet, first as a garage helper and then as mechanic. We had 400 vehicles; on the under-hood decals the manufacturers used all different kinds of viscosity oils. But at the phone company they didn't care about what the manufacturer recommended. We used overhead lube guns for servicing them and bought the oil in bulk, 500 gallons at a time, only one weight of oil as used. A national study had been done to figure out the best choice. They talked with the oil manufacturers, and it was suggested that since diesel engines were included in the fleet, they had to have the oil with the anti-wear additives and viscosity rating to protects them. They went with the Chevron 20W-50W diesel oil, we used it in in everything. At the time you still could get other weight engine oils with the anti-wear additives. But as the manufacturers switched to engines with roller lifters those additives were removed from the oil. They probably eliminated the additives to prevent damage to the oxygen sensors and catalytic convertors. It just takes a tiny amount of something to destroy an oxygen sensor. Then they started running lighter oil supposedly for fuel mileage, my 2014 pickup recommends a 0W-20W oil, the only oil recommended on the oil fill cap. They've done the testing so that's what I use.
What I do know, is no matter what engine it was at the phone company they all ran forever with the 20W-50W Chevron diesel oil in them, millions and millions of miles of inhouse testing. We rarely went inside an engine, and we kept the vehicles until the bodies fell apart. Since that diesel oil is the only oil left with those anti-wear additives many engine builders are recommending it for the old school engines with flat tappet cams. I don't know for a fact that lifters are going flat with modern oils, maybe on some engines with heavy valve spring rates they are failing. Probably 10W-30W oil would be just fine on a flathead but I really don't know. I doubt these days anyone has driven one far enough to know whcih oil will make your flathead last the longest.
It seems that no matter what brand the diesel oil is with the anti-wear additives it's only available in 20W-50W so that's what you're stuck with if you decide to go that route. if you don't have any oil pressure problems using it, I would try the diesel oil just because it has the anti-wear additives in it.