Sorry to hear of your trouble with the Schaller tuners! This scenario reminds me of a time back in the '70s when there was a huge debate about installing heavier Grovers on Norlin-era Les Pauls. Of course, at the time Gibson was installing those shoddy chrome tulip tuners that no one cared for, and everyone was raving that not only were the Grovers far superior, but the shear mass of the tuners themselves helped to give the guitars better tone and more sustain, or at least that was the claim. I don't recall how much of a tonal difference they really made, but I do find it interesting that modern-day Gibson Les Paul Historic Reissues continue to feature lighter-weight Kluson-style tuners. Rarely do we see anyone replacing them with the heavier Grovers or Schallers these days, but I'm sure there are exceptions.
That said, I think we posted about this before, correct? Anyway, I decided to try the Gotoh SG381 tuners after reading the reviews that Kuz and a few others had written here. They're a direct drop-in replacement for the Heritage tuners, and I honestly didn't notice a bit of a tonal change in the guitar. I also tend to be super picky about what I'm hearing out of a guitar, too. The biggest difference that I noticed was that the tuning quality of the Gotohs was far superior to the Heritage tuners, so I've never felt any need to look any further. Plus, they're relatively inexpensive:
https://www.amazon.com/dp/B012EBV47A?ref=ppx_yo2ov_dt_b_fed_asin_title