This is normal, though I have never inked/soaked fifteen times. After the first application of ink and the paper begins to dry out (you will see this when your hopping just adds to the highlights), I soak for a few minutes, place the paper face down on a paper towel, and squeegee the back. I then turn the paper over and place it on the glass and gently use another paper towel to remove the water from the front by placing it over the print and moving my hand over the towel.
Sometimes this results in a bit of a pattern on the print but it's no big deal because that pattern will go away as you reink. The second inking will initially remove the ink, then as the paper begins to dry out it will start taking it again.
Fomabrom Variant IV 123 is my favorite paper and I think that you will enjoy using it.
Cheers -
george