I found this nice answer on reversing tikz coordinates
Reverse coordinate system/axis in TikZ
However, it fails one you use \newlength as shown in this example:
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\newlength{\lspan}
\setlength{\lspan}{0.5cm}
\begin{document}
\begin{tikzpicture}[y=-1cm]
\draw[green] (0, 0) -- ($(0, 0) + (\lspan, \lspan)$);
\draw[red] (0, 0) -- ($(0, 0) + (0.5, 0.5)$);
\draw (0, 0) -- (1, 0) node[below] {$x$};
\draw (0, 0) -- (0, 1) node[left] {$y$};
\end{tikzpicture}
\end{document}
Following the logic the red and green lines should coincide.
What is wrong?

\def\lspan{0.5}the result is as expected. Anyway, if you use an explicit unit of measure, it is not multiplied by the scaling factor, I guess by general rule. And you should not mix absolute lengths with relative ones. – egreg Oct 23 '20 at 17:02y=-1cm) is multiplied. – muzimuzhi Z Oct 23 '20 at 19:50