biblatex confounds AMS's solution for eliminating TOC entries

Question

The AMS suggests to remove a TOC entry from an amsart document by suppressing the entry just before it is to be added to the TOC.

Their solution works without the biblatex package loaded. However, when I load the biblatex package, it fails, and that TOC entry is still printed even with the skip command. Please see the below MWE demonstrating the problem.

\documentclass{amsart}
% \usepackage{biblatex} %uncomment to see difference
\DeclareRobustCommand{\SkipTocEntry}[4]{}
\begin{document}
\tableofcontents
\addtocontents{toc}{\SkipTocEntry}
\section{First}
\end{document}

Notice that it is not necessary to use biber in the compilation to demonstrate the issue. Using pdflatex on the document alone shows the difference.

Answer 1

As discussed at length in Why does biblatex produce `defcounter` lines in .toc?, biblatex adds additional content to the .toc file. So when you load it you get

\defcounter {refsection}{0}\relax 
\contentsline {section}{\tocsection {}{1}{First}}{1}%

instead of just

\contentsline {section}{\tocsection {}{1}{First}}{1}%

Hence, if you want to gobble the line, you need to gobble more.

\documentclass{amsart}
\usepackage{biblatex} %uncomment to see difference
\DeclareRobustCommand{\SkipTocEntry}[8]{}
\begin{document}
\tableofcontents
\addtocontents{toc}{\SkipTocEntry}
\section{First}
\end{document}

If you load hyperref you need to gobble even more, because the argument structure changes.

\DeclareRobustCommand{\SkipTocEntry}[9]{}