When I said there's no such thing as too much pressure I should have included the rest of it.
Think of a pile of ping-pong balls. If you press down on the pile with a flat surface they'll spread out until there's only one layer of them...and then there is no force to move them laterally any more. Now let's say you could make two perfectly flat surfaces, down to a molecular level. Could you squeeze them together hard enough to result in a layer of epoxy one molecule thick? No...neither could you ever prepare a wood surface even remotely close to this...but if you could there would still be a bond.
Epoxy crosslinks to cure. Without a solvent carrier there is no theoretical minimum thickness to create an effective glue joint. I'll venture to say, however, that even with Titebond or any other glue there is no amount of pressure between two pieces of wood that will squeeze out glue to the point of "glue starvation". A few things CAN happen with high pressure on compressible materials though. You can compress wood when gluing and then upon the removal of pressure, weird stress accumulations can occur.
I have a hydraulic press that can deliver 160,000 lbs. of pressure to the two surfaced plates that comprise the front body plate of my guitars. This is about 580 p.s.i of compression...which crushes some species. Even with crushing pressure I haven't seen anything remotely close to "glue starvation". I need about half that much to make a very consistent glue joint though.
My press delivers EVEN pressure. A typical 8", cast iron C-clamp can make about 2500 pounds of pressure...all focused on a small point. This is where too much pressure is going to be bad...not from glue starvation but from highly localized compression and therefore, localized stress accumulation when the clamps come off. A thick, hard, FLAT layer on each side of a laminate to homogenize the clamp pressure is the ticket. Of course, applying pressure, backing it off, and then re-applying pressure is a no-no.
When considering pressure on a laminate...it's not the glue that's the issue. It's the distribution of pressure. The more you do to homogenize pressure on a laminate, which includes the surface prep to create flat surfaces and the even application of glue, the more pressure you can apply to the laminate...and the better your glue joint.