I think some guys will like the tone with more mass, and some won't, definitely a matter of preference. I brought it up because I know a lot of players change out the stock tuners for lockers and other heavy ones, because they believe it will stay in tune better...IMO, it will not help tuning stability, but will change the tone somewhat - whether for better or worse is in the ear of the beholder. On LP's, I prefer the lighter ones, I think it imparts a little more "acoustic" tone, not as "focused" as heavier ones. A good LP has plenty of sustain no matter what kind of tuners. Whether a string rings for 19 seconds, or you increase it to 21.3 (or whatever it would be) I think is far less important, at least to me, than the shape of its envelope for the first 6, 8, maybe 10 seconds.
Back to the OP:
How many wraps around the posts? I looked at a problematic guitar that belonged to a guy at church, it would not stay in tune at all, constantly going down in pitch. I looked at the pegs and he only had like 1.5 or 2 wraps around the post (non-locking tuners). When I pulled up on the strings to "stretch" them, they would go way flat...over and over and over - I watched them up close and the strings were slipping on the post. I handed it back and told him to put new strings on, with more wraps...