I would like to redefine \emph that odd emphasised levels are bold and even emphasised levels are bold italic (\emph{bold \emph{bold italic \emph{bold}}}). How could I redefine \emph using \em to achieve this?
I tried to edit the solution proposed here Redefine \emph to be both bold and italic
\let\emph\relax % there's no \RedeclareTextFontCommand
\DeclareTextFontCommand{\emph}{\bfseries\em}
But here the first level is always bold and italic.

\emphmay be used "under the covers" in some places where you might not expect it, for example in bibliography styles or caption environments. Be alert. – barbara beeton Jan 30 '20 at 23:55