I guess I'm from the other end of the spectrum. I love Bob Dylan, Neil Young, Tom Waits and any number of people who supposedly don't have good singing voices (I still dislike Meatloaf though). On the other hand, I don't much care for Jeff Beck, Bela Fleck, Joe Satriani, etc. I think I tend to prefer music that is more gutsy than cerebral, even though I can appreciate the incredible technique that the other side of the fence displays. I'd still rather listen to the Ramones than Return to Forever, but I can respect why other people appreciate those artists.
I wouldn't have categorized the Beatles with either of these groups though. They were competent if not stellar musicians, and they could consistently write a catchy hook. They seem to have the best of both worlds, as reflected by the diverse array of musicians who claim them as an influence.