That seems odd to me. Could they simply publish their mappings periodically to avoid being able to fully comply with takedowns?
I mean, the article using the link is already published, what legitimate reason could there ever be to destroy a link in it? What would these people issuing the hypothetical takedown do if the author of the paper had just included the link itself?
After the paper has been submitted to a journal, the journal staff checks that the provided Perma.cc link actually represents the cited material. If it does, the staff “vests” the link and it is forever preserved. Links that are not “vested” will be preserved for two years, at which point the author will have the option to renew the link for another two years.