Figure with long caption on side, wrapping under it

Question

I want to have a figure and a long caption on the side of it. I have seen several solutions to do this (e.g. this one) however if the caption is long then the result looks ugly. I want the caption to wrap under the figure as well. Here's my MWE to show what I mean:

\documentclass{article}
\usepackage[demo]{graphicx}
\usepackage{floatrow}
\begin{document}
\begin{figure}
    \floatbox[{\capbeside\thisfloatsetup{capbesideposition={left,top},capbesidewidth=4cm}}]{figure}[\FBwidth]
    {\caption{A really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption a really long caption}}
    {\includegraphics[width=5cm]{name}}
\end{figure}


\end{document}