That said, I suspect that this is not a major aspect of the Filter. If the cost goes up, the main impact would be on consumer goods which would become more expensive. That's unpleasant but not a Filter event. It also isn't relevant from the standpoint of resources necessary to bootstrap us back up to the current tech level in event of a major disaster since there will be all sorts of nearly pure copper that could be scavenged from the remains of civilization.
This may however be a strong argument for either finding new copper replacements (possibly novel alloys), or for the development of asteroid mining which will help out with a lot of different metals.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.