Do you remember these rugs?
I knew they would be a disaster in the kitchen, and they were, and I've passed them on to my sister.
We replaced them with Gel Pro mats which have a plastic surface that can be swept and mopped.
We see one problem, which is if they aren't rotated regularly, the 1/4-inch flat edge curls. It's no taller than the top of the mat, though, and isn't a problem if we don't drag our feet.
That's a recommendation after two years' use.