That's a more reasonable offering, monfed, and I hear what you say about "consensus" vs. "popularity." The problem, though, is that I don't think there is consensus.
A quibble: Jack Kramer died on Sept 12, 2009, and only experienced Roger's rise and at the peak of his powers, not really the rise of Rafa, nor the rise of Novak. At that time, it made sense to call Roger the GOAT: he had won 15 of 25 Slams from Wimbledon in 2003 to 2009., and 11 of 16 in 2004-07. That was extended dominance unlike the tour had ever seen in the Open Era. It was also 12 years ago, so doesn't take into account what Rafa and Novak did since, and we don't know what Kramer would think today. My guess is that he'd say what many of us are saying: It is just too hard to tell.
In other words, at the time of Kramer's death--the beginning of the 2009 US Open--the Slam count was Roger 15, Rafa 6, Novak 1. Since then it is Novak 19, Rafa 14, Roger 5.
In a way, Roger made the GOAT a thing by surpassing the guy (Sampras) with the best claim--at least of the Open Era---but Rafa and Novak unravelled it. It took about ten years, but here we are.
That said, I basically agree with you that Roger has "the greatest game" but also an unfortunately greater penchant for choking than Novak and Rafa. I mean, one could argue that he "should have" won WImbledon in 2008, 14, and 19, and the US Open in 2009, and if he had won all four matches, we wouldn't be having this conversation, as he'd have 24 Slams, and Novak 18, Rafa 19.
But Novak and Rafa were the reason he lost three of those matches, and it isn't like the other two haven't blown some big matches. While Roger has lost the most Slam final 5-setters with 4, Rafa is just one behind him with 3. Novak has only lost 1.
At one point some years ago I made the comment that, in some ways, Roger fell victim to his earlier dominance. For four years, 2004-07, he was rarely challenged. Yes, he lost some matches and Rafa had his number on clay, but was overall quite far ahead of everyone else, even Rafa. When Rafa reached a new level in 2008 and then Novak in 2011, Roger faced one and then two "equals" - something he wasn't used to, and he never fully adjusted, just for brief periods (like his dominance over Rafa in 2017, which did a lot to balance the scales between the two).
I've also pointed out that as dominant as 2007 was, he started losing lesser matches to random players - guys he wouldn't have lost to in 2006 (he lost as many matches in 2007, 9, as 2005-06 combined, and the uptick wasn't just to Rafa and Novak, but to lesser players: two losses to Canas, one to Volandri, two to Nalbandian). Maybe this was "dominance fatigue," and he started taking his pedal off the gas, except when it really mattered. This, of course, came at the worst time, as Rafa surged in 2008 and, coupled with Roger's illness and perhaps somewhat blase attitude, led to him losing the #1.
I also like your point about Laver reclaiming it due to Roger's inability to consolidate, and Rafa and Novak's inability to fully claim it. It is almost as if because the three are basically equals, it goes back to Laver by default.
But here's the thing: Of the three, Novak still has the best chance to single himself out. He could have done it at the US Open but didn't. But he's almost certainly not done. Rafa also has a chance, but probably less so. Roger's legacy is, at least, 99% complete. Unless Swiss scientists discover the flower of life, I don't imagine him doing more than winning Basel or maybe a Masters.