I think I may be with the majority when I say more than just the center chests should refill. Everyone's already said it, those who team up take the corn first, and if those were the only chests to refill, then no one else would stand a chance. The campers would be set for life and all they have to do is pick off anyone brave yet foolish enough to try and get to the refilled chests. Plus, I think this would encourage spawn camping, since that will be the only constant source or materials, and, lets face it, no one likes spawn campers. Just read the spec. chat during fights that you have a team of three or four camping there. Everyone's yelling for them to leave or kill eachother. It really is no fun.
So, long story short, I think all the chests should refill, or at least a portion of them. Maybe give non-spawn chests only a 50% likelihood to refill, or, as some others have suggested, have them refill every other night. Only spawn chests refilling is a bad idea.