I haven't used the dry mount press method for prints that weren't going to be mounted directly after the flattening.
The tried and true method in my lab is to let the prints dry until they are almost dry. They should still have some moisture in them, but the surfaces should not be wet.
When they get to this point put them between matte board with some sort of interleaving between the prints and put some weight on them(5 gallons of water, sandbags?). The longer they remain like this the flatter they will remain. I would recommend 2-3 days of flattening at a minimum. If you were to take the prints out and leave them in the open air, I believe they will start to slowly curl, but that is in our very dry climate.
Another fact worth noting is that if you take a curly print and try to flatten it with pressure it will take a VERY long time for it to flatten out. I have some that took 2 months, but they are FLAT and seem to be staying that way.
What I'm saying is that if they finish the drying process while being held flat it helps.
I hope that helps.
Corey