You are rather stubborn with some of your opinions. As Mustard rightly said, Wembley was an important event, most probably the most important of the pros' calendar. Frank Sedgman once confirmed this when I asked him about the matter.
I think the Hague and Cairo tournaments were part of the 4 man tour.
I once have found also a 10:8 pro balance of Rosewall against Hoad (probably October 1957).
Joe McCauley did not count those matches he listed up but brought an official 14:14 record on December 3rd!
I don't trust Jack Kramer too much because Kramer always belittled Rosewall. For instance he wrote that Segura owned Rosewall till summer 1958
which is most doubtful.
Kramer only once praised Rosewall when he wrote that Muscles would have won four Wimbledons if open era had come earlier.
I appreciate your Hoad admiration. Hoad was extremely strong when "on" but please try to stay objective.