Thats pretty correct Chin. Good breakdown.
But I do believe that Joe Profaci was only named boss after the war. I don't think he was yet "there" during the war.
Manfredi Mineo and Ferrigno were both administration members, hence their later double assassination (But I'm not sure was superior in rank). But you may be right there. And you're correct about Scalici, in fact he was boss "twice," and both times stepped down in favor of replacements.
If memory serves me "The Clutch Hand" Morello was always underboss to Masseria, not the other way around. I think "Joe the Boss" always led.
I view Joe Pinzolo as a "puppet" as I had stated above, who Masseria "attempted" to install as boss but who the former Reina Family rejected and quickly killed, allowing Gagliano and Lucchese to step up into power. But you are correct to say that Gaetano Reina was truly the boss of this group until Masseria had him murdered in favor of his puppet Pinzolo.

Your assessment is pretty spot on, especially considering all these events took place nearly a century ago. Bravo!

And you are also correct to state that these families were NOT formed after the war. The NYC families were firmly in place many years before the Castellammarese War.