I never used the Ilford, but I print a lot on the Canson Baryta and, as I use a Z3200, I mainly print on rolls. And yes, it tends to be quite curled at the end of the roll. I also made a DIY de-curler and it works well if I need the paper (almost) flat quickly. When not in a rush I just leave the print resting with a magazine over it (over a protective sheet of paper or tyvek or mylar) and after a day or two it is flat with no memory at all.
As a side note Cris Crangle, global business manager for the Canson Infinity line, was visiting our studio recently and told me that this paper base was chosen because of its great stiffness, necessary to avoid cracking of its coating with high level of barium sulphite. Unfortunately the pronounced curl is a side effect of all stiff alphacelulose papers.
Best regards.