For the record:

Elias Oltmanns <e...@nebensachen.de> wrote:
> In the attempt to customise my section headings by means of
> \setuphead[section][...command=]
> I followed the instructions at
> http://wiki.contextgarden.net/Figures_in_Headings#Figures_in_Headings
> .
[...]
> As it turns out, neither MkII nor MkIV processes the attached example
> as expected:
> MkII The table of contents is incomplete, even though the wiki says
>      it shouldn't be;

The solution seems to be to use deeptextcommand instead of textcommand.

> MkIV \currentheadnumber seems to be 0 all the time.

Apart from Wolfgang's solution, I have now realised that MkIV allows to
use command instead of textcommand / numbercommand and still produces a
complete table of contents. Accordingly, the setups look like this:
\setuphead[section][command=\Myhead]
\def\Myhead#1#2{%
    Sect #1}

Regards,

Elias
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