\:tempa is everywhere, so we use it to conditionally call to \tableofcontents throug attachments points when tex4ht any of the options is on.
<..latex options 1, 2, 3..>
\NewConfigure{tableofcontents*}[1]{%
\def\:tempa{#1}\ifx\empty\:tempa
\ifx \au:StartSec\:UnDef \else \gdef\:StartSec{\au:StartSec}\fi
\else
\edef\auto:toc{#1}%
\ifx \au:StartSec\:UnDef
\let\au:StartSec=\:StartSec
\def\:StartSec{\:tableofcontents
\global\let\auto:toc=\:UnDef \:StartSec}%
\pend:def\:tableofcontents{\gdef\:StartSec{\au:StartSec}}%
\fi \fi
}
-_-_-