|a layer of 5/8" drywall is only about .015psi so there is no reason to believe that laminated sheets of the stuff wouldn't be an easy task for any adhesive. but code is code
says it has 250psi, so that's about 10000 times more than it needs from a psi point of view.
But screws hold gypsum because screws are steel and are good under tension, and gypsum is rock and is good under compression, so they hold by resisting each other. They do this in earthquakes, and in humidity.
Adhesive sticks to the paper on either side of the drywall. When paper gets wet it falls apart (that's how they recycle paper). When a drywall that's screwed to the wall gets very humid and later drys it's not a problem, but if that wet paper were the only thing holding the drywall up, it'd be my guess that the paper would split down the middle of the paper (half staying in contact with the gypsum, and half staying in contact with the liquid nails), or variations depending on where the weak spots and tear spots and drywall break spots ended up being. With a subwoofer vibrating the walls, and if it's humid (several people breathing, moist basement), it seems to me the problem would occur.
Even if the problem isn't the paper, the drywall itself isn't good under tension. If the wall has been flexed enough, which happens over the years, some of the interior is going to be dusty. Again dust is not a problem with a compressible material as long as it doesn't escape, but dust (or 1" wide chunks) under tension is a problem.
Of course I'm just making all this up, but it sounds good to me.
Code is our friend.