Paul, you are probably right that the curling tendency of fiber paper also depends on the difference in how the paper and the emulsion side are affected in the process. But I rely on the following experience: if you let the wet print dry on the mesh, the edges are quite dry and curling after some time, though the center is still not that dry but quite flat. Putting such a print under pressure between blotters for some hours, you will have a flat print, though still not dry, which - at least - feels as if the remaining moisture is very even distributed in the print. It's quite easy to flat dry such a print with an old electric print dryer, thus without using a expensive dry mount press. Just putting a wet print on such a drying press, at least if it's just the old type with a single sheet of cotton on top, will not always give a satisfactory result - at least I haven't succeed that way. With such a simple dryer you don't have to wait 3-4 days with the prints under a stack of books in order to fully inspect your results - it’s enough that the prints cool down under pressure during some hours.
There are obviously many simple methods, all are good if they work!