Chesterton's meta-fence: "in our current system (democratic market economies with large governments) the common practice of taking down Chesterton fences is a process which seems well established and has a decent track record, and should not be unduly interfered with (unless you fully understand it)".
Appealing to Chesterton's Fence is moving away from an object level argument. Thus, the general implication of the Chesterton's Fence argument is that there is not an efficient alternative solution to the problem.
Chesterton himself intended to use it in the situation where people are saying, "I don't see any reason for this fence to be here." That implies that people do not see a problem at all, and therefore they do not see an alternative solution. But if there is actually a problem, although people aren't noticing it, there may or may not be an alternative solution (and usually there will be at least a few alternatives.)