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Well said, and this points out what is wrong with an "Elo-only" approach, imo. Actually, as much as GOAT Points has its issues, it is better in my mind because it tries to take "everything" into account (in the statistical record). So it includes Elo, ATP rankings, tournament results, as well other factors like "won all four Slams." And of course that's where GP has its problem: by trying to account for everything, it ends up veering into "A player's greatness is the sum of their parts."I think his placing on the list is in fact entirely driven by the Elo formula. There are a couple of names where he had to abandon the algorithm due to lack of data. Namely Karel Koželuh and Ora Washington, but I think at this point the order of the list is entirely down to what the algorithm spat out. The articles themselves of course contain a combination of statistical and subjective analysis of a player's greatness.
Andy Murray is simply one of those players who ends up higher than expected on a list like this because of playing essentially the entirety of his career in a very difficult era where big titles were hard to come by. The fact that he broke through to be comfortably the 4th best player of the 2010s gives him very good Elo numbers (both for peak and longevity). The Elo algorithm rates the 2010s so high that even Kei Nishikori and David Ferrer made the top 128, and at much higher placings than most would ever expect.
I don't think there is a good, final answer - at least not yet. Baseball has settled on WAR (Wins Above Replacement) as the One Stat to Rule Them All, but even then there's debate: which version is best, how to score defense, etc. The creators of WAR would be the first to tell us that it is only an approximation, and the formula itself is subject to fine-tuning. It doesn't help its validity, though, that the Godfather of Stats--Bill James--doesn't like it, instead preferring (you guessed it) his own proprietary formula, Win Shares.
All that said, as I have said several times over the years, I do think that Andy Murray is generally underrated, and that systems like GP and Elo rankings partially right this wrong by pushing him higher than a facile look at Slam titles only implies. I think it is a bit of a stretch (to put it mildly) to rank him ahead of Agassi, Becker, Edberg, and Wilander as Sackmann does, but I do think there's a good argument that he belongs closer to those guys than the gang of lesser multi-Slam winners like Courier, Vilas, Ashe, Nastase, Safin, Hewitt, etc. As with the last two decades, Murray is an "in-betweener": the guy who separates the true greats from the rest of the pack.