Dan, I rank Kramer No. 7 for 1957.
Yes, and Kramer was not just a top ten in the world in '57, he had a winning record over Segura (14-11 thus far documented) and a possible winning record over Hoad (11-11 thus far documented). The edge over Segura -- with Kramer winning at least once even on clay -- is particularly impressive, considering everything that Segura did in '57.
Kramer also won his only meeting in '57 with Pancho Gonzalez, at Wembley. The only player Kramer did not do well against was Rosewall: 2-19 thus far documented.
Bobby a couple of weeks back you mentioned that World Tennis had Kramer finishing ahead of Segura on the European/Asian tour, behind Rosewall and Hoad. WT does report that, and it's repeated in McCauley. But Kramer actually finished fourth on that tour, behind Ken, Lew and Pancho. Jack did really well against both Hoad and Segura but Rosewall beat him so many times that his overall win/loss record is comfortably fourth.
WT had records of only a few matches on the '57 overseas tours -- just what Kramer provided them. (And this is all that McCauley had as well.) They knew only what Kramer was telling them. Kramer gave them some running H2H tallies among the four players but those numbers are all wrong. I did a study of this, after I researched the '57 overseas tours, trying to make sense of Kramer's numbers. The numbers themselves are off, perhaps because the European tour (and the Asian tour) had no prize given out at the end, so there was no need to keep a careful count. The South African tour DID have a prize given out at the end and on that tour all numbers were kept meticulously; the same was true for the Australian tour. But the European/Asian numbers are not accurate, and I have no explanation for how Kramer might have produced them.
For example if you add up all the H2H numbers given on Oct. 15, you have some of the men playing many more matches than others, which makes no sense. All 4 men played at every stop and should have the same number of total matches played.
Anyway I had meant to post my analysis of those numbers, but I put it off in hopes that I could find the handful of still-missing results on the European/Asian tours (South Africa and Australia are fully accounted for, as I said).
What this means is that we really should throw out the statements in World Tennis about the European/Asian tour, if what we want is to know the placements of the players in terms of overall win/loss. For example WT reports that Rosewall and Hoad finished the European tour in a tie for first place: this is conclusively wrong. In Europe Ken was 19-10, Lew 14-14.
The only sense in which Rosewall and Hoad are tied according to Kramer's numbers (and keep in mind,
those are wrong) is that they are tied 3-3 with each other, while both men have leads over Kramer and Segura. In that sense, too, Kramer can be third, since he has a winning H2H over Segura, who had losing H2H’s against all of his troupe-mates.
So there is some sense to what Kramer reported to World Tennis, according to Kramer's own numbers -- but again I have to stress that his numbers are wrong.
And even if they were correct, I think most of us, in considering placements on a tour like this one, would want overall win/loss records rather than H2H's.