While they might have co-opted it like such, I cannot imagine this being the origin.
To me "late stage" always sounded akin to late stage cancer, as capitalism is seen.
We, however should not despair in the face of the cancer, but try to heal it.
This does not seem to be the original intention according to Wikipedia: https://en.wikipedia.org/wiki/Late_capitalism
SMH my head, of course you should be making the duct tape yourself ๐โโ๏ธ