Michael (dela217)-
I'm not intentionally trying to bum you out, but water and wood are generally not a great mix.
I would draw a distinction between a fingerboard/neck repair vs something involving body laminations. If the body laminations of your BecVar separated because water damage dissolved the glue or caused warping in the wood, then the kind of fix you mention is as much as you can do without completely ripping the body sandwich apart and reconstructing it. In the case of the body, even if there are irregularities because of dimensional wood changes, you have a cosmetic issue to deal with, but not one that would impact the playability of the instrument. With the neck, fingerboard, and underlayment, you ultimately want tolerances that will be in the thousands of an inch range. The way that this is achieved in a quality instrument is that you start with good quality, stable wood, you assemble it in a sound fashion, then you machine the fingerboard surface to the final tolerance. Even if the pieces started in tolerance, you would have to be very lucky to restore this precision without that final machining step. If you end up filling a gap in the body laminates with glue it won't affect playability because the tolerance really doesn't matter that much, but this will be a problem on the neck.
Resin glues like Titebond are really strong and resistant to environmental stress (humidity, temp to some extent). It can easily form a bond that is stronger than the wood that it set on, but if the wood is physically damaged it may have lost it's internal physical strength. You often see this when warps pull glue joints apart. You can reglue it, but what happens is that the new glue hold, but the fibers of the wood pull apart from the stress and the gap reappears.
Alembic can address what kind of glue they use for assembly (I would guess that something like Titebond is what they use for most of the instrument). They may use something different for the fingerboard and underlayment (the laminate layer between the fingerboard and the main part of the neck. You've seen mention of heat treatment to repair minor neck warps without complete reconstruction. They heat the glue joints in the neck, then apply tension to the neck to straighten out the warps, then let the neck cool. The heat softens the glue joint which allows the laminates to move slightly, then set in the new position when the heat is removed. I'm not sure that that sort of treatment would be possible of they used aliphatic resin in the sliding joints - I'm not sure that it can be softened after it sets. The underlayment is intended to be sacrificial in the event that the fingerboard is removed. Again, using Titebond here might make it more difficult to work with in the future.
Sorry for the bad vibes...
David Fung