For durability and ease of maintenance, I'd suggest laminate.
cut the grout loose w/ your MM...I have no idea how hard it is to break them loose from that membrane and clean it up to replace instead.
Which is more durable in high traffic areas? Also which is easier to maintain in winter seasons?
That's only because some owners are too lazy to get their cat spayed/neutered and have a proper litter box that's cleaned regularly, cats are the cleanest of animals much cleaner than some owners.And cats.