I think it depends a lot on the LP in question.
Both of mine are Epiphones and are very different - and I have minor issues with both. The LP Prophecy is *heavy*, in spite of it being a "weight relieved" body. On the other hand, my Custom ES is decidedly not heavy because it's a semi-hollow body, but because of that it's prone to neck dive.
On the other hand, my neighbor has a Gibson LP Classic and I've found it to be well-balanced, fairly light - and really, really nice to play.
But yeah, I'm more or less settled into the Fender realm. Although I did recently contract with a custom builder to make me a nice, exotic wood Flying V. Now, you wanna talk about a guitar that's uncomfortable to play...