Kane holds one briefly when he's down in the cargo hold in the special edition cut, but that's it. I'd imagine it was deleted so the audience wouldn't constantly be wondering why they weren't using it/them against the Alien.
It looks like the version here is a more "modern", pimped-out version than the more utilitarian ones we've seen before. I like it! And a minigun too?! They're just inching one step closer to the "Predators when?" requests all the time aren't they?