>>49741572In-universe, if the Haxorus line isn't steel type, it's likely because the scales and tusks although very strong, aren't comprised of whatever "organic metal" that other steel types have like Duraludon or Bronzong.
Diamonds are capable of cutting through metal but that doesn't make them metal. Given Haxorous' mineral eating habits and its mold breaker ability, I'd say that Haxorous is closer to being a Dragon/Rock type if anything.