I have now "repaired" two link failures that required me to go to the Wayback Machine's archives. Whatever I did could have been automated in a routine of reasonable doability. The only human mind power I used was to select which archived piece was the one I intended and I simply chose the earliest. It could have been the one closest to the date I posted the link or...
This might put a burden on the Wayback Machine but I think it can handle it, if not there's lots of free storage space for such things.
In doing this I realized that I had bypassed the linked-to site's subsequent "forbidden" order and I wonder if I could use it to, e.g. get New York Times archives without subscribing to the NYT?