First I'm going to point out that I forgot Hamilton was in Mercedes and not Mclaren in 2013 which means he's never had a car that's finished outside the top 3 in the constructors, in fact he's only had 2/9 seasons outside of a top 2 car.
Second thing I want to clear up that lots of people seem to be confused with,
I am not arguing that Hamilton is a bad driver, or that he's not one of the top drivers on the grid, I'm simply pointing out the flaw in ranking drivers using Famine's system.
Turns out that drivers who are good get recruited by good teams and score good points for them, putting the cars at the top of the constructors' championships...
Other top 10 drivers include Michael Schumacher who drove 15 top 3 cars in 19 seasons (the other 4 were 4th, 4th, 4th and, in his last season, 5th), Alain Prost who drove 12 top 3 cars from 13 seasons and I'm sure if Juan Manuel Fangio, Nino Farina or Alberto Ascari had been driving a constructors' championship too, they'd have been exclusively in top 3 cars...
Your first part is an oversimplification, as I'm sure you know being a good driver doesn't guarantee you'll end up in a good car, just like with Alonso and Button this season. Same can be said that being a not so good driver doesn't mean you won't end up in a good car, and your ranking system doesn't take that into account, in fact no ranking system I've seen does, which is why they are all somewhat meaningless.
And the second part of your post pretty much proves my point, looks like all the drivers in the top 10 using your rankings spent the vast majority of their careers in top 3 cars, but that doesn't make them the top 10 drivers in F1 history, at best it gives you a very rough idea of where they would rank.
He made his own luck by being so good. If you look at whole grid, Nico Rosberg seems one of the best. This year he is losing 8-1 in qualifying battle and
Michael considered him his strongest teammate. Lewis did also manage to win WDC without team winning WCC which is rare.
Fernando Alonso also considers Lewis the strongest.
Nico Rosberg relishes the challenge and can't think of a better teammate. There is also high praise by
Jenson Button. He can't be too bad if his colleagues think so highly of him...
See top of this post, I'm not arguing that Hamilton isn't a good driver, of course he is, I'm arguing that Famine's ranking system is inadequate for making anything more that rough estimations. Also you can't really say whether or not Rosberg is one of the best drivers on the grid as his entire career has either been in a car where it was virtually impossible to get a good result, or a car where it's difficult not to finish in the top 2 every race. Or in other words, he never really had a car where he can compete fairly with all the other top drivers.
While it would be nice if all drivers were in equal cars, racing set-ups can and do make equal cars less equal. Take note, when Hamilton won the GP2 trophy, one of his best races was when he pulled all the rear wing out of his car at Turkey. Nobody else did that because it was suicidal. He spun out from fifth, recovered, and having found out how little grip he had in the corners, drove from the back of the grid to the podium.
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Aside from open-wheelers, however, there's always ROC. But not everyone competes there. Schumi and Vettel have cleaned up quite a few team trophies at ROC in the past...
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In the end, though, you make your own luck. Vettel earned his way onto the Red Bull "main" team, then made the jump to Ferrari at the right time. Hamilton made the jump to Mercedes just before McLaren completely imploded, a move few of us thought would work... though the suspicions were there given Merc had been pirating good people from the other teams for a while. A champion must give himself every chance to succeed.
I would disagree that you make your own luck, and that luck shouldn't enter the equation when ranking drivers, which it does with Famine's system. When Hamilton moved to Mercedes, he had no idea that in a years time they would be dominating every other team, same when Alonso moved to Mclaren, although he probably didn't expect to be winning, I very much doubt he expected to be in such a bad car. So you can't really attribute good a bad luck to the drivers decisions, and so it shouldn't come into consideration when ranking drivers.