I've come to change my thinking about this (and my adjustment post is under re-consideration by me).
My basses always felt the same on both nuts. They always adjusted using both as if there were only one with relief the same on the high and low sides, adjusting both nuts to the same felt tightness.
However, I always wondered what I'd do IF I ran across a situation just like SnarlyHovel reports. So, I'd advise adjusting the tension on the bass side as a separate operation from the high side, adjusting both to the same end result. In my case, with the feeler gages, I'd adjust until I got 12/1000 under the E or B, and the same on the G/C side, and my advice would be to do this on any Alembic.
Since there's no room at the truss rod nuts to use any kind of torque wrench to set or measure tension, we'll do it 'coming from the other direction' by setting to a set relief (that 12/1000ths as a starting point for those it doesn't quite suit, or a finish for those it does) on each side of the fingerboard.
We'd follow the same process for adjustment . . .
Truss rod (except do each separately to the same end result)
Action
Intonation
with side-trips, if necessary, for . . .
pickup height adjustment
nut height (clearance over the first fret)
And as always: This is for working basses with minor relief issues, fret wear, etc. For basses with real problems, as always, find a pro, experienced guitar tech where you live and have things professionally taken care of.