The prices are about the same, they are both about 2,000 yuan. The sound of SG is sharper. Listen to ACDC guitarist Angus Young. He uses SG. The sound of LP is warmer because the wood of the piano body is thicker and heavier, so there will be a difference in tone. I think both are classics and every guitarist should have one. If you like it personally, the band's tone cannot be easily imitated by a single pedal without good speakers, so you don't necessarily have to pursue the band's tone. It's fine to invent your own tone.
I personally think LP is more gorgeous, classic and low-key. sg is more flamboyant. For reference only.