People misinterpret Chesterton's fence as an argument against changing things, but it's actually just about what I quoted above. It has no verdict on whether or not something should be changed. It just argues that you should make a strong effort to figure out why it is how it is before attempting to do so.
I'd argue that if you don't at least do the exercise your attempts to change things will probably fail, since whatever you try to do will likely fail to capture something necessary in the old system.
Keep in mind though that it doesn't always work. Sometimes the reason for the fence is forgotten. Sometimes the reason is deeply perverse and there never was a good reason. Sometimes the reason is obsolete.