JJ, maybe not completely but the paper doesn't get the chance to shrink, so it only partially suffers from drydown.
I have never tried to tape them on only two sides, because then the print would pull itself loose. I forgot to say that I use a shammy to flatten the prints onto the glass sheets (this also removes excess water) and then wait for about half an hour before sticking them down. If don't do that, the fibre paper will actually pull itself loose from the sheets of glass. It's amazing how strong fibre paper is.
p.s. by the way JJ, are you Dutch?