And someone who really, really understood how to place mics and record rock music. Page as as guitar player and writer is rivaled only by Page as a producer.
Page's recorded output speaks for itself. He was a magician in the studio, and could play with a precision on record that few have ever matched when the tune required it (Achilles' Last Stand, anyone?). He was also a dynamic performer that let it all hang out and when he was "on" live it was the most brilliant thing I have ever heard. The "How The West Was Won" set should be required listening for anyone calling themselves a guitar player.
If we want to get into the debate about his supposed "sloppiness" etc., I think we must make the argument that at the time he was part of an avant-garde rock movement where that kind of full-frontal sonic assault was part of the experience. Speaking of experiences, why don't we dredge up some early Hendrix and see how "sloppy" he played, or if there is a single live recording of him with a properly tuned guitar. Same conversation about a lot of their contemporaries that were pushing the envelope so-to-speak. Somehow Page gets singled out for this stuff.