That said, waiting for the cold press doesn't sound so great. Sounds kind of iffy to me. It is important to know the substrate and overlay material. HPL works well in a pinch roller, veneer does not. The heat makes the glue work faster, so the press time is shorter.
Cold presses works on pressure.
The cold press is meant to get maximum pressure for a short period of time on a maximum amount of material. You can press 10 to 20 pieces of material at a time, for approximately 20 minuntes, then let set for 6 to 8 hours and the material is ready to use. New glues are coming out all the time to help speed up this process. If you take your questions to the Adhesives Forum on this website I am sure Jeff can help you with. The pressing you choose to do depends on a lot of factors.