I think that Torts may use Weber more when he has the last change at home, so he can spot him.
Stanton has nowhere near Weber's offensive skill, but he is much safer in his own zone. And when the Sharks can put out Thornton, Couture, Pavelski, Marleau, Boyle, et al, when they see Weber out there...well, that could get ugly very quickly.
While we all know Torts is going to give his top lines much more icetime (relative to AV), I think the top players will get even more of the ice on the road.
Something tells me if Weber got a stick Thornton he'd end up sprawled on the ice...