Adhesive foam tape will be quite strong in the aggregate, like if you tried to lift the whole cooktop. But it should yield easily to a narrow tool like a thin metal putty knife, since you’re only working a very small area with it. She should be able to work the putty knife around the perimeter to cut the foam and not damage the counter.
Once it’s out, it can be cleaned up with the putty knife and/or some solvent for reinstallation. Just test the solvent where the test patch won’t be seen, especially on the counter top, in case it damages the surface (wrong solvent).
Tom & Jeri
2018 Coachmen Galleria 24T Li3