this is primarily because I most value dominance
First, your list is cool and especially the pithy summations of each player.
You gave a pretty good defense for your choice of Kramer, based on this dominance. Kramer was No. 1 from 1947 (as amateur) to 1951 - five years. That is his period of dominance. A period when he won two amateur majors, two pro majors and three WCS. He is not No. 1 in 1952, unless you take the extreme version of the boxing analogy, i.e. he was not beaten in a WCS. I don't believe you have him as No. 1 for 1953. So five years at No. 1 and arguably again in 1953 would be six, according to me. You give him 1947-52
But you have Laver 7th. You give Laver six years at No. 1. I agree, and might add 1971. It could also be argued it goes 1964-71. Laver has
≥ the years at No. 1 as Kramer, against better (deeper) competition in the Pro years and just plain better in 1968-70 ('71). Laver has a ton of silver - 23 majors is my total, but at least 20. Versus nine for Kramer. Between 1966-69, Laver won 11 of 14 Slams (six Pro; 5 Open). That is some kind of dominance.
You have Budge 10th. You give Budge a whole bunch of years at No. 1, some which I would not because of the war. Budge could be considered a "lineal champion" 1937-42, or six years. After 1942, the war really gets in the way. 1940-42 is weird because the only tennis is in the USA, although it is pretty high quality. Budge was off his game in 1941, it appears, although it was not a very active year. 1942 was reasonably active and he was clearly back at the top, if he had ever dropped in the first place. This guy beat EVERYBODY. By my count, Don Budge won 9 straight Major tournaments (six amateur, three Pro) between 1937 and 1940. That is to say won every Major tournament in which he competed. That equals what Tilden did 1920-25. In addition he won the 1939 WCS and his 8-0 in Davis Cup singles for cup-winning USA in 1937 = Major. That is 11 Majors in four seasons, and 11 for 11. Nobody has ever done that. Let's see, did Kramer do that? This is an earnest question, not rhetorical. I have to think about this. Between 1947 and 1952, for which you have him No. 1, and counting the World Pro Championship Series, he was 2 for 2 in 1947; 2 for 2 in 1948; 1 for 1 in 1949 (Wembley); 1 for 2 in 1950 (beats Gorgo, loses at US Pro SF to Segura); 1 for 2 in 1951 (beats Segura, loses at US Pro [injury withdrawal]); 0 for 1 in 1952 (loses Wembley final). As dominant player, Kramer went 4 for 7 at Slams and 4 for 4 at WCS. Not bad.
I don't know what to call the Grand Slam now, because players, the press and "television" commentators use "grand slam" to mean an individual Slam. But we know Budge won THE Grand Slam in 1938. How can he not be world No. 1 for 1938? Especially when he goes on to beat Vines a few months later?
All-in-all, and this very much goes for Bill Tilden also, your dominance notion should yield a list where Kramer may be close, but is behind Laver, Tilden and Budge. Their achievements exceed Kramer's. Their won-loss records are more impressive. By your own count, Tilden has more years at No. 1 and Budge and Laver are = Kramer in that metric.
And then there is something call . . . well, it has lots of names, but let's just call it "clay".
Folks think Sampras has a clay-court problem? Try Kramer. Hey, Pete won the Italian Open and beat Russia in Moscow. And, importantly, Pete played on clay. He competed.
Jack Kramer? Not so much. In 1946-47 he steers well clear of Roland Garros. He admits this years later. He says he was afraid a loss at RG could hurt his chances of a big Pro contract. He won't even compete at the U.S. Clay Court championships. His only respectable clay title of his career comes at River Oaks in 1947. As a Pro it is mostly more of the same. he plays a couple of short tours on clay. When he does finally venture to a big clay tournament he loses in the semifinals (the 1950 US Pro happened to be played on clay). In 1952, he loses on indoor clay at a Paris tournament. On the other hand, Budge has a bucketful of clay titles, including the French International Championships and French Pro Champs (both at RG, where Kramer never dared), one of his two U.S. Pro; 9-0 in DC singles on clay; and various other titles and accomplishments.
As for Tilden and Laver, they are both in the top 10 on clay without doubt. Tilden has the most titles on clay of any player. six or seven times U.S. Clay Court champ. Clay Slams at World Hard Court Championships and the French Pro. Heartbreaking defeat at 1927 French International final (or was it?). Laver has two RG; two Foro Italico, the 1971 tournament amounting to the real clay-court World Championship for that season; two Hamburg; countless other titles, some prestigious, like British Hard Court Champs, River Oaks, Trofeo Facis, 1968 French Pro at Roland Garros (non-Slam) and it goes on.
Is 96-27 vs. 20-year old Richard Gonzalez enough to make up for what Kramer lacks?
I think there is a good argument for Kramer in the top 10 all-time. I don't put him that high (about 13th or 14th I think), but there is justification.
And there is some "authority" out there that sort of agrees with you.
The tennis commentator Steve Flink in 2012 ranked Kramer 4th all-time. That would be 5th, probably 6th now, behind Novak and Rafa. Still, awfully high. Flink lauds Kramer for being "overwhelmingly efficient." "No one could come close to touching him."
Ellsworth Vines in 1978 wrote about the 10 best players younger than himself and Perry. He ranked Budge first and Kramer second. "It was Kramer's serve that made the difference . . . His ability to 'spot' it wherever he wanted it with no apparent effort was astounding. For depth, pace, and bounce there has never been anything like it . . . There have been better volleyers, but you can count them on your fingers . . . But Kramer was fortunate he didn't face Budge in his prime; for to beat Budge a player had to get to the net in the first place."
Extrapolating, we might guess that Vines today, if he remained of the same views, would have Kramer as high as 5th greatest all-time. I would guess that besides Budge, there would be Tilden, Djokovic and Federer above Kramer for sure.
Sidney Wood, the 1931 Wimbledon champ, published a book in 2011 (posthumous, I think) in which he ranked Kramer second all-time. Unfortunately, Wood does not say much about Kramer.
Again, we have to guess a Wood list today has Kramer below Djokovic and Federer - but who knows. Still, the point is similar to the examples above.
An ATG who contemplated the question put Kramer in a position to be as high as 5th all-time today; a very good player who followed the game all his life put Kramer in a position to be 4th today; a prominent journalist probably ranks Kramer 6th.
Interesting.