"We are a very large manufacturer and currently use a standard yellow wood glue, which has to sit for 20 minutes in clamped" Why? Something is very wrong with your operation.
If you are a very large manufacturer, you need to put in a flow through automatic clamp. Knock the cases together, slide them onto the infeed powered conveyor. The clamp will automatically clamp them to the preset pressure, hold for a few seconds, open & convey them to the next station.
If you believe that 20 minute thing, you are telling me we've been doing it wrong for years.
Zack, yes, we slide cases out, but they only sit on the outfeed bench until the next case comes out, 3 minutes+-. Plenty of time to put shelves in, snap door on, put drawer in, adjust drawer front and install hardware. No staples etc. needed. Many cases will be finished end!
"They have a top and bottom spindle instead of rails on the bottom which makes them last longer". I don't know what "spindles" are on a Gannomat? Please explain.
I've got 2 Gannomats. One has movable cross supports on beams, air cylinder clamping. The other has spring loaded rollers on the deck and electric screw clamping. Air floatation is available as an option.
I think the hot urethane would not speed things at all. We've got 2 of the 3M PUR hotmelt guns. You have to deal with the warm up time, cleaning issues, preheat container, expensive glue. Great for some things but there are other well worked out solutions to case clamping.
Try this: at your bore & insert machine try to pull some of the dowels out after 3 minutes.