Apply transformation to every TikZ path coordinate (even from nodes) without transforming the canvas

Question

Is there a way in TikZ to add a transformation such as xshift=1mm to every coordinate of a path?

The following don't work because they do either more or less than "every coordinate of a path":

• \path [xshift=1mm] ... doesn't apply to coordinates defined with nodes, e.g. \draw [xshift=1mm] (A) -- (B); doesn't shift anything.
• transform canvas={xshift=1mm} transforms everything (not just path coordinates), and causes troubles with the bounding box and the definition of new coordinates.
• decorations don't change the underlying path (I think?) so \draw [fancy decoration] (A) -- (B) node [below] {text}; will have the node at the "wrong" position (corresponding to the unshifted path).

What does work is to manually add options to each coordinate, for example this works even with nodes: \draw ([opts]0,0) -- ([opts]A);. Well at least it works if A is defined through coordinate, and for other nodes it works when specifying an anchor as in A.center.

Is there something like a every coordinate/.style={opts} that would do the same thing without having to write opts for each coordinate?

As motivation, here's an example where it would help, while I think neither of the above three alternatives work:

\documentclass[tikz]{standalone}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
    \coordinate (A) at (1,0);
    \coordinate (B) at (3,1);
    \draw [very thick,->] (A) -- (B) node [above left] {$\vec v$};
    %
    % Define style for shifting by 1cm perpendicular to A-B
    \tikzset{perpshift/.style={shift={($(A)!1cm!270:(B)-(A)$)}}}
    %
    \draw [very thick,->] ([perpshift]A) coordinate (A2) --
                          ([perpshift]$(A)!0.5!(B)$) coordinate (B2)
                          node (N) [below right] {$\vec w$};
    \draw [dashed] (A) -- (A2)
                   ($(A)!(B2)!(B)$) -- (B2);
\end{tikzpicture}
\end{document}