@jonny I would say that ActivityStreams's Move action is within the spirit of Cool URIs Don't Change.
However, I've just re-read the original article (https://www.w3.org/Provider/Style/URI), and… hm. This is not nuanced enough. The rest of Tim BL's 1998 style guide is outdated, wrong, or overly-simplistic, but my sentimental attachment to this particular article was preventing me from seeing its flaws.
Do you know of a better canonical reference for how URIs should work?