Not to perpetually belittle strats, of course, because there's a place for them, and some play them really well, but the sound of the pickups is so different to my ear that it's inappropriate for the tune. I find the two almost different instruments. I'd enjoy probably owning one of each, but my style is firmly flat fretboard. All in all "Sunshine" on a strat is like someone playing "Freddy Freeloader" or "Pharoah's Dance" on a flute.
As well, the floating bridge makes a big difference in the sound with the bent strings, especially wide ones, as of course it pulls all the rest of the strings flat. That's a big difference in sound too. I've a nice stetsbar tremelo for the les paul, but I like the sound better without it. It's harder on the hands, for sure, as to make a big bend takes a lot more pressure, but, hell, I think it sounds better.
I personally believe few play humbuckers very well, especially hot ones like the 490 or 498 series ones that my Special has. They're very lively and prone to oversaturation. It takes very quality gear to get a good sound out of them, unless you just want to play thrash power chords, which of course, I enjoy a great deal and it gladly provides the vibe. So, a little Metallica is fine too.
Hmm, the latter could work actually, again to my ear, but would be wildly different. Pharoah's Dance, I mean. . .
Just a marginally talented snot offering his opinion! LOL