I'll admit something...if I was playing in a large ensemble, or I was just playing lead guitar...I could see myself dusting off one my strats and relearning how to play it. (The last few times I've played I find myself constantly bumping the tone selector switch with my picking hand. I also tend to avoid planting my hand on the bridge for alternate picking and strum up near the neck more.)
But...for what I do, which is play in smaller bands...I need some thickness to my tones. I could never get that out of my Fenders, and I can't per se blame the "quality" as one is a MIJ '68 Reissue with Abigail Ybarra '69's and the other is a "Kinda sorta" MIA HWY 1.
I think what broke me...a while back I went and saw Robert Cray in concert. Awesome guitar player...but as soon as he hit that bridge position I kept thinking to myself "Geez...that would sound a lot better if it was a Gibson or if he at least had a humbucker there."
From a construction design, there were slightly different takes on how to deal with sympathetic vibrations affecting the pickups. From Les's perspective, he essentially built a solid body guitar so the pickups would not move (causing unwanted feedback as is evidenced in full hollowbody guitars once you start applying a lot of volume.) Leo's design was sort of insidious in that the plastic guard that houses all of the electronics serves as a plate in which to do mods while at the same time...the plastic does not resonate with the wood, so the pickups are isolated...resulting in...less unwanted feedback.
I guess when it's all said and done, and this is what I can make out of an electric guitar, no matter who built it: There's 2 opposite forces that have to be addressed simulataneously. On one hand, you want as much resonance and sympathetic vibration coming off of the body and neck as possible...but, you don't want the pickups to be affected as these same vibrations which will cause unwanted feedback. (not the good kind, either.) Both had different ways of addressing this.
I think for my personal perspective, I find it easier to work on the Les Pauls because I don't have to remove the entire front of it. I can simply pop off the plate on the back. And as stated, I'm not really used to where the controls are housed anymore (and I've never been one that's sort of been enamored with a tremolo/whammy bar or a wilkinson bridge either. On both of my Strats they're completely blocked off.)
PS: It's not lost on me that one product continues to challenge the other. I've noted that Strats have gone to 22 frets and humbuckers in their HSS models. I hope Gibson can answer the challenge with interchangeable parts that can be removed quickly.