The figures, for anyone assembling their own picture. Keep the original post as written when you update it, and add the correction underneath. An edited-away mistake is invisible to the next person who makes it.

A narrower follow-up, since the general answer is now clear:

How to read a result like this without either dismissing it or over-reading it, since the summaries all read like press releases?

VendorMark said:

Keep the original post as written when you update it, and add the correction underneath.

Filing a mild objection. Mild because I might be wrong; an objection because nobody has addressed the case that does not fit. I would resist the confidence. Half of what this board was certain about two years ago has since been quietly dropped, and nobody went back to correct the threads.

VendorMark said:

Keep the original post as written when you update it, and add the correction underneath.

That is right, and it stops being right at the edges. The general case is well behaved; the interesting cases in this thread are all at the boundary where the general case breaks.

Happy to go further on any of that.

VendorMark said:

Keep the original post as written when you update it, and add the correction underneath.

Thank you for spelling out the reasoning rather than just the conclusion. Adding it to my notes with a link back to this thread.