Jimi Hendrix was way before my time and passsed away in 1970 at the at the age of 27, but his music is timeless. For those who've never had the opportunity to see him in action, I suggest a (DVD) viewing of "Jimi Hendrix: Live At The Isle Of White". You'll never tire of listening to "Hey Joe" no matter how many times it's been played on the radio. Jimi Hendrix "reasoned" with his guitar, treating it like an errant child that needed to be reasoned with. As for "eating" his guitar and playing it with his teeth, there's no-one better for doing that than Jimi Hendrix.
On the other hand, Jimmy Page "talks" to his guitar, like a stern scholmaster giving his class a right telling-off! His guitar-play on "Kashmir" is brutal, and yet on "Stairway To Heaven" he's ever so subtle, right up to the final climax. I've seen lead-guitarists play the guitar with their teeth and their elbows, but only Jimmy Page had the arrogance to play his guitar with a violin-bow! The man's a genius, and though many folks will disagree with me, I have to say that Jimmy Page gets the nod over Jimi Hendrix -- but only by a whisker.