I don't know the cause, and will be interested to learn from others here. The answer my lie in the mounting method, or in the expansion coefficients of your board and adhesive.
I mount all of my prints larger than A4 size, simply because I so dislike prints that don't lie flat. In all cases of paper similar to your GFS, I send the prints to a local shop for mounting to either 1/4" acid-free foam core, or 1/2" Gator Foam. The shop uses an interleaved adhesive sheet for bonding, and we've never had a wrinkle like what you describe - even for very large prints, and even when they are, or are not, laminated after mounting. The paper most often mounted is the Canson Baryta, which I'm told is very much like your Ilford. Sometimes I do mount matte fine art media to self-adhesive foam core, probably along the lines of your material, but the heavy weight matte papers are very wrinkle resistant.
I offer these anecdotes in case they shed light.
John Caldwell