How to make refcount work with roman page numbers?

Question

Is there a way to make the following MWE work with roman page numbers?

\documentclass{article}
\usepackage{refcount}
\newcounter{mycount}
\begin{document}
%\pagenumbering{roman}
\stepcounter{mycount}
\label{test:page:\themycount}
\refused{test:page:\themycount}
\ifodd\getpagerefnumber{test:page:\themycount}
ODD
\else
EVEN
\fi
\end{document}

With roman page numbers, there's the following error:

! Missing number, treated as zero.
<to be read again>
                   i
l.9 \ifodd\getpagerefnumber{test:page:\themycount}

EDIT:

With egreg's comment the following works in textual context but fails again in programming context:

\documentclass{article}
\usepackage[user,abspage]{zref}
\newcounter{mycount}
\begin{document}
\pagenumbering{roman}
\stepcounter{mycount}
\zlabel{test:page:\themycount}
\zrefused{test:page:\themycount}
\zref[abspage]{test:page:\themycount}
% \ifodd\zref[abspage]{test:page:\themycount}
% ODD
% \else
% EVEN
% \fi
\end{document}

Answer 1

\ifodd expects stuff that expands to a number. The documentation of zref marks expandable macros with exp or exp2:

\documentclass{article}
\usepackage[user,abspage]{zref}
\newcounter{mycount}
\begin{document}
\pagenumbering{roman}
\stepcounter{mycount}
\zlabel{test:page:\themycount}
\zrefused{test:page:\themycount}
\zref[abspage]{test:page:\themycount}

\makeatletter
\ifodd\zref@extractdefault{test:page:\themycount}{abspage}{0}\relax
  ODD
\else
  EVEN
\fi
\makeatother

\end{document}

Module thepage provides property pagevalue, the page number as number value. The following example uses this with some macro definitions. It will also work and detects the oddness of \thepage, if the oddness of \thepage is out of sync with the oddness of the absolute page number.

\documentclass{article}
\usepackage{zref-thepage}% defines property pagevalue

\newcounter{mycount}
\renewcommand*{\themycount}{\the\value{mycount}}

\makeatletter
\newcommand*{\myzpagelabel}[1]{%
  \zref@labelbyprops{#1}{pagevalue}%
}
\newcommand*{\ifzpageodd}[1]{%
  \zref@refused{#1}%
  \ifodd\zref@extractdefault{#1}{pagevalue}{0} %
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\makeatother

\begin{document}
\pagenumbering{roman}

\stepcounter{mycount}
\myzpagelabel{test:page:\themycount}

Page number \thepage\ is %
\ifzpageodd{test:page:\themycount}{odd}{even}.

\end{document}