From what I understand, Hallmark was never a sponsor of the show per se. The Hallmark Entertainment Division bought rights from CBS to distribute the mini-series in overseas markets. I don't know that that's changed even though CBS won't be airing it domestically.
That's what I hear, too. Plus, it is entirely possible that it may not air at all in foreign markets, or if it does air, changes may be made to it. If I'm Hallmark Entertainment, I'm thinking that perhaps I've got hotter assets in the can than this turkey, and maybe I'd better push them instead.
Michael