Wrong label position in the footnote with hyperref

Question

The hyperref package attempts to handle the footnotes in a useful way, but the implementation seems wrong and I am looking for a way to fix it. Please consider the following MWE:

\documentclass{article}
\usepackage{lipsum}
\usepackage{hyperref}

\begin{document}

\lipsum[2-4]\footnote{\lipsum[1]}
\lipsum[5-10]

\end{document}

Whenever I click the footnote mark in the document, it brings me to the footer, somewhere close to the related footnote, but the first line of the note is not visible -- as if the hyperref label was placed too low (bottom of the first line instead of the top). I believe that the whole footnote should be seen, like this:

However, what I get instead is (EDIT: compare it to the previous image so it makes some sense):

My usual toolkit is LaTeX+dvips+gs, dependent on the desired output format. I made sure to use no additional arguments for the MWE. NO SUCH THING (EDIT: I made a mistake here and noticed it thanks to @Ulrike Fischer) happens with pdfLaTeX. I have checked it with acroread and Evince. I failed to find any package or option that would change it, but I might just have missed something obvious. I would appreciate any help!

Answer 1

It seems pretty complex (@UrlikeFischer suggestions are great, but implementing and supporting it would require way more research for me). Temporarily, I can offer a hack:

\newcommand{\fnprocesscounter}{\fnsymbol} % \arabic, \fnsymbol, ...
\newcounter{footlabel}
\newcommand{\footlabel}[2][0]{%
    \addtocounter{footnote}{#1}%
    \phantomsection\label{footlabelback\thefootlabel}%
    \renewcommand\thefootnote{}%
    \footnotetext[0]{%
        \renewcommand\thefootnote{\fnprocesscounter{footnote}}%
        \phantomsection\label{footlabelfront\thefootlabel}%
        \hyperref[footlabelback\thefootlabel]{\footnotemark}%
        #2%
    }%
    \renewcommand\thefootnote{\fnprocesscounter{footnote}}%
    \addtocounter{footnote}{-1}%
    \hyperref[footlabelfront\thefootlabel]{\footnotemark}%
    \stepcounter{footlabel}%
}

\fnprocesscounter is configurable, it works on a counter. The presented \footlabel command takes optional number that stands for an additional jump and the required text of the footnote itself. Make sure to use hyperref and set hyperfootnotes=false. In the intended case, you have only one reference to the footnote, and you get two-way hyperrefs. Anything beyond that (removal of hyperrefs in some direction, using footlabelfrontX/footlabelbackX labels anywhere else, ...) is up to your hacking. Have fun on your responsibility!