You need to figure out which one (neck) feels good in your hands. I fully agree with the acoustic resonance as a first check, but that isn't everything. Electric sound is whatever - The electronics are totally replaceable. The amp will drive the sound.
But, most LP's Weill have that mid punch and generally fatness that a Strat doesn't. Balls, if you will.
I have 4 of them, and three have maple 3 piece necks. Those are a different sounds and feel than a fat or thin mahogany neck. Obviously rosewood/Ebony makes a difference also. All mahogany vs Mahogany maple makes a difference in bodies.
But a Les Paul is a lot more complex mixture than a Strat. Neck size, material, board, and body pieces. That's 4 major factors, with 8 levels, and that ignores things like having a Dark piece of mahogany and a dark maple cap etc...which can happen.
And then there is the better or worse by preference Gibson pickup choices.
Some come with Seth like pups, some with Distortion or C5 like pups, and the occasional X2N of a Dirty Fingers, etc....
Thus the original advice: Play it, feel it, like it but it, and then do whatever you want for you with it. Try, and preferably buy used.