Can `every strand/.style` be added to `tikzpicture` environment?

[Andrew15-5]

I want to modify example from https://github.com/loopspace/spath3/issues/22#issuecomment-1454947343 like this (just as a silly example):

\begin{tikzpicture}[
    arrow/.style={-Triangle},
    every strand/.style={only when rendering/.style={arrow}},
  ]
  \samecode
  \begin{knot}
    \strand (a.east) -- (b.west);
  \end{knot}
\end{tikzpicture}

But instead of

I get

There are probably more valid examples of using every strand/.style but it is a useful "command", right? Can it be added?

[loopspace]

Page 10 of the knots documentation covers this. The knot keys are in their own directory, knot diagram, so if you want to define a key outside the knot environment then you need to use a prefix.

[Andrew15-5]

Right, thanks. But I have a following question. If this works:

\begin{tikzpicture}[
    arrow/.style={-Triangle},
    knot diagram/every knot diagram/.style={only when rendering/.style={arrow}},
  ]
  \samecode
  \begin{knot}[
      % every knot diagram/.style={only when rendering/.style={arrow}},
    ]
    \strand (a.east) -- (b.west);
  \end{knot}
\end{tikzpicture}

Then why this doesn't work:

\begin{tikzpicture}[
    arrow/.style={-Triangle},
    % knot diagram/every knot diagram/.style={only when rendering/.style={arrow}},
  ]
  \samecode
  \begin{knot}[
      every knot diagram/.style={only when rendering/.style={arrow}},
      % knot diagram/every knot diagram/.style={only when rendering/.style={arrow}}, % This also doesn't work
    ]
    \strand (a.east) -- (b.west);
  \end{knot}
\end{tikzpicture}

Do I read documentation incorrectly?

[loopspace]

The key every knot diagram is processed at the start of the knot environment, so setting it in the options on that environment is too late.

[Andrew15-5]

Am I right in understanding that there is no way to set every knot diagram/.style without adding the knot diagram/ prefix? Because this prefix is only implied in the knot environment but setting every knot diagram/.style in it is too late.

[loopspace]

That is correct. I try to keep from polluting the main tikz namespace by putting my keys in families.