I have a stock 32 radiator (re-cored), no pressure on the cap, a very high performance flathead and I've been stuck in 90+ degree weather in a long line to get out of Goodguys . . . was stop-n-go for almost an hour and I did not overheat.
Ran about 195 tops on a mechanical gauge. If things are built right, blocks are clean of rust, timing is correct, water pumps are moving enough water and the radiator is good - these flatheads should cool just fine.