Everyone knows the owner on tiny Caye Caulker, that doesn't mean he's confiding in anyone.
With all respect to Mr Miller, developers in Belize often go over the local Village Council's head, to area reps and others on up.
As far as caves go there are pockets and chambers all over the island not connected to "THE" cave.
These are not formed by engineers with transits and levels.
And yes, they cannot close the split itself, but they can put up a wall on the perimeter of the private property and pretty much make it a lot harder to access.