I believe it also depends on the pickup/amp combination?
My Deluxe is quite dark because I voiced it that way, so I get more of a "growl" and less shrillness out of my pickups when pushing the amp into breakup.
I also have a low power 12AY7 tube in the first stage (as it should be, although a lot get swapped out for 12AX7's), which also gives me more tone and less harsh distortion IMHO.
My 5F1 tweed champ reacts completely differently, as the 12AX7 has more gain and the amp is a lot more brash and in your face...Still nice, but a different animal altogether.
I have Classic '57's in my LP, which are more powerful, but sound great in that guitar; I had an SG Special with 490's in and didn't like them at all, they were just dull and lifeless. I changed them for a pair of Bare Knuckle "Crawlers" which were amazingly good. Another guitar that I should never have sold (sighs)....
A lot of this discussion is down to personal preference, so this is just my opinion of course.