best way to skip a path/shape

Question

I wonder if there is a conveniant way to skip a path/shape. For example, I can use \draw (0, 0) -- [clip path={...}] (2, 3); or \draw (0, 0) -- [clip path name=<path name>] (2, 3); or \draw (0, 0) -- [clip node=<nodename>] (2, 3); to skip the given path/node.

I know some code to do this, but they cost several lines:

Inverse clip

\documentclass[tikz, border=1cm]{standalone}
\tikzset{
  revclip/.style={
    insert path={
      (current page.north east) --
      (current page.south east) --
      (current page.south west) --
      (current page.north west) --
      (current page.north east)
    },
  },
}
\begin{document}
\begin{tikzpicture}
  \draw (1, 1) circle (1cm);
  \draw (0.6, 1) circle (0.5cm);
  \path [clip, overlay] (1, 1) circle (1cm) [revclip];
  \draw (0, 0) -- (2, 3);
\end{tikzpicture}
\end{document}

Background layer

\documentclass[tikz, border=1cm]{standalone}
\pgfdeclarelayer{back}
\pgfsetlayers{back, main}
\begin{document}
\begin{tikzpicture}
  \draw (1, 1) circle (1cm);
  \draw (0.6, 1) circle (0.5cm);
  \begin{pgfonlayer}{back}
    \draw (0, 0) -- (2, 3);
    \fill[white, behind path] (1, 1) circle (1cm);
  \end{pgfonlayer}
\end{tikzpicture}
\end{document}