Perhaps it would help the luthier that you take it to if he has some setup specifications to compare where the guitar is now.
When I set the guitar up, for "lead playing", prior to shipping to WA the basic specs are as follows:-
Action at nut: 0.020" ~ 0.010"
Action at 12th fret: 4/64" low E, 3/64" high E
Neck relief (capo at 1st fret, depressed string at last fret): 0.00"
Pickup heght: Treble 4/64", Rhythm 5/64 (High & low polepiece to string on low and high E)
Additional information. Neck was adjusted dead straight with no tension and the frets were levelled and recrowned. Fretboard was given 2 x Lemonoil treatments and the frets were polished. Guitar was test played on all frets for every string for clean, buzz free playing. Notes in the upper register were bent up to check if there was any "choking". Open chords, ie. the G, C and D chords like in the video were played quite firmly to check for full resonance.
Specific information about the setup. Given that the request for a guitar for "lead playing" was asked for, the action at the 12th fret is 1/128" lower than the normal specification. The truss rod was adjusted so that there was absolutely zero neck relief. After ther fret level. recrown and polish, the guitar played cleanly and was ready to pass to any lead guitarist to plug in and play. On stage.
It is not common and virtually impossible for the Tune-O-matic studs to adjust themselves higher or lower while the string tension holds it down. What will become a factor is the climate in Sydney (where the guitar was setup) was much drier than the wet conditions in Perth (4,500km away) when the guitar was recieved. The wood absorbs the moisture and will become backbowed, fact. If the guitar was set for a more general setup, with a very small amount of neck relief and a very slightly higher string action, there would be more margin for error and there would be far less chance of the guitar having a problem with buzzing.
The simple lesson that I have learned here is that, in the future, all guitars that I sell will have the same, safe standard setup that has worked perfectly for hundreds of players. If there are any "special requests" for specific setups, then I would suggest that a guitar tech or luthier is paid to set the guitar for the players individual needs.