NRA Life Member
Could it be your string gauge? The Gibson is a shorter scale, so very light strings might be harder to keep in tune. I'd try heavier strings and/or locking tuners and/or a new nut.I tune every guitar every time I play it. That’s not the issue. It’s probably more of an intonation thing. But the Les Paul, for whatever reason, is harder for me to get dialed in than my Strat or Tele.
The last time I bought a Gibson, I had designed my perfect Les Paul and I was about to buy a stripped body and neck and the parts to build one with locking tuners and a load of switching options and when I started searching for the parts I discovered Gibson already made the exact guitar I was going to build and it was on sale at Guitar Center for what it would cost me to build it - Gibson Les Paul Tradition Pro IV:
On push/push pot is a 10db boost like a Clapton Strat, one splits the coils, one lets me choose outside or inside coils, and I can't even remember what the 4th one does. It is the best sound all-around guitar I have ever played and I have owned a wide, wide variety.