You don't have to prove anything to me, and I'm not sure what you're trying to prove either. I was merely pointing out that it's possible to get the same result with the intersections library, at the same time acknowledging that it's less convenient than the old intersection cs.
For reference, the description is still found in the .tex file of the manual, commented out with an additional comment saying it is deprecated: https://sourceforge.net/p/pgf/git/ci/master/tree/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex#l468 That change came way back in 2008, with this commit: https://sourceforge.net/p/pgf/git/ci/3dba4acd1ced8625a41ab4af1e59f56a36f0933c/ That said, it's perfectly possible to do this with intersections, but I think the lines have to be extended manually...
Make auto and sloped
Wrong output from mod in axis
First line of centered node left aligned with \newline
Oops, sorry about the size of the image, and lack of hyperlink. Doesn't appear to...
dateplot - values shifted by 1 day
Manual error for xticklabel pos