Chicago with the 1st pick means that in theory, they COULD draft Schaefer and leave Misa for San Jose. If the Sharks don't want to trust Chicago to leave them Schaefer at 2, the only way to be totally sure is to acquire the 1st pick.not sure why the Sharks need to be involved at all here. Just make this a deal between Chicago and New York.
There's also very unlikely but technically possible scenarios where Chicago moves up to 1 but then trades the 1st overall pick to some other team that wants Schaefer. The only true certainty for Sharks is if they themselves own the 1st pick.