But if the network is as a whole pushing full capacity, spreading out the load won't help because there's barely any slack to spread it into. You could get 4x resolution, but you'll only get 1/4th the amount of footage.
But who are we kidding? A group of internet forum nerds coming up with something that the people at NASA/JPL/ESA/etc haven't already considered?
NASA's funding problems would compound if they took an attitude this naïve during what is largely a PR mission.