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If the performance differences had been noteworthy, I think the Germans would have used a 4 bladed design. As it was, they had good propeller designs and increased chord width which accomplishes the exact same goal of being able to load more power onto the disc.
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I don't believe that. Broad chord 3-blade prop lost 8% efficiency when a/c speed is around 0.55 Mach, although this design outperforms old design a lot when speed is low.
German had no naca16 airfoil, what they used in WWII is just WWI standard-gottingen airfoils and the modified broad chord version.
For all of WWI airfoils(RAF6,ClarkY,Gottingen), 4-blade design is useless, but for the newly developed NACA16, story is different.