With today's approval of the Baffinland project there are potentials for economies of scale along the Hudson Strait - not for the entire route, but some of it.
Canadian mining company, mining iron ore in the Qikiqtani region of North Baffin, Nunavut, Canada.
www.baffinland.com
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Churchill still has major hurdles, but would be a much shorter pipeline, potentially offsetting higher shipping costs using specialized ice breaking tankers (if that is feasible given the wind conditions continually closing a channel and pressing towards the port). They also have to confirm it won't cause a regional extinction of polar bears.
Edit: Churchill is far more suitable for shipping to Europe. Shipping west would be possible a few weeks a year at best.