I have to give the overall nod to Page, just because of his diverse styles and yes, he managed to stay alive until now doing it.
But the absolute best talent of all time with straight ahead blues-rock-jam style was Hendrix. And I never cared for Hendrix much for years because all I ever had heard was the "Jimmy Hendrix Experience" stuff which I think sux mostly. Not sure if this was really his fault or that of the music executives.
But when I was around 20 I first heard the Band of Gypsys album with Buddy Miles (sample cut in the post above) and that removed all doubt as to his real genius. So tremendous talent with short career span due to his drug abuse.