I'd like to use \footcite in a figure environment in a way that acts completely like a \footcite in ordinary text mode. Specifically, I've configured \footcite to print a long citation (i.e. with the author's first name, year of publishing, etc.) on the first reference to a given source, and on subsequent citations, only a short citation should be printed in the footnote.
However, when I use \footcite in the \caption of a figure, I always get a long citation. What can I do to change that behavior?
MWE:
\documentclass[12pt,english,a4paper]{article}
\usepackage[a4paper, total={6in, 4in}]{geometry}
\usepackage[english]{babel}
\usepackage[backend=biber,
citestyle=verbose,
bibstyle=verbose,
sorting=nyvt]{biblatex}
\addbibresource{bibliography.bib}
\DeclareNameAlias{sortname}{last-first}
\renewbibmacro{in:}{}
\usepackage{tikz}
\usepackage{footnote}
\makesavenoteenv{figure}
\usepackage{filecontents}
\begin{filecontents*}{bibliography.bib}
@article{A,
author = {Alpha, Amber},
title = {Title},
publisher = {Publisher},
year = {2014},
}
@article{B,
author = {Beta, Bryan},
title = {Title2},
publisher = {Publisher2},
year = {2015},
}
\end{filecontents*}
\begin{document}
While some\footcite{A} argue X, Ref. \textcite{B} argues Y.
Also, W\footcite{A}.
\begin{figure}[!htbp]
\begin{center}
\begin{tikzpicture}
\draw (0, 0) circle (1);
\end{tikzpicture}
\end{center}
\caption{A circle.\footcite{A}}
\end{figure}
\printbibliography
\end{document}

Note how footnote 1 and 2 are long while 3 is short, as I expected them to be. However, I also want 4 to be short, but it isn't.
Thank you in advance!

biblatex's citation tracker tracker is turned off in all floats, because generally floats are not considered part of the text and it is very very hard to predict where floats end up and so to tell what form of cite to use. I expected this to have turned up more often, but could only find Package Footnote and Biblatex: only fullcites in table. – moewe Jun 29 '15 at 05:22