biblatex \autocite in nested footnote confuses footnote numbering and test is lost for tufte-book

Question

I use tufte-book and had a problem with nested footnotes. The solution shown here works for me with document class article but not with tufte-book:

\documentclass{tufte-book}  
% \documentclass  {article}
\usepackage[style=authortitle]{biblatex}
\DeclareCiteCommand{\smartcite}[\iffootnote\textnormal\mkbibfootnote]
  {\usebibmacro{prenote}}
  {\usebibmacro{citeindex}%
   \usebibmacro{cite}}
  {\multicitedelim}
  {\usebibmacro{postnote}}
\DeclareMultiCiteCommand{\smartcites}
    [\iffootnote\textnormal\mkbibfootnote]{\smartcite}{\multicitedelim}
\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@misc{A01,
  author = {Author, A.},
  year = {2001},
  title = {Alpha},
}
\end{filecontents}
\addbibresource{\jobname.bib}
\begin{document}
\null\vfill% just for the example
Some text \autocite{A01}.
Some text.\footnote{A footnote \autocite{A01}.}
\printbibliography
\end{document}

It does not include the text A footnote and confuses the numbering of the footnotes - note footnote 2 is referenced as 3!