How can I not add a background for empty pages

Question

I am using the background package to add a background to each page. I want a different background for odd and even pages, which is why I use \AddEverypageHook. However, AddEverypagehook works on all pages, including empty pages. I want it to only add a background if the page is not empty. Therefore, empty pages from using \cleardoublepage should not have a background. I load the emptypage package to remove headers and footers from those pages, but I also want to remove backgrounds. Maybe it should check if the pagestyle is empty? Here is my code so far:

\documentclass{book}

\usepackage{stix2, lipsum, ifthen, emptypage}
\usepackage[tracking]{microtype}
\usepackage[
    paperwidth = 6 in,
    paperheight = 9 in,
    margin = 0.75 in,
    bindingoffset = 0.125 in
]{geometry}
\usepackage[
    contents={},
    opacity=1,
    scale=1.5,
    color=blue!90
]{background}

\AddEverypageHook{
    \ifthenelse{\isodd{\value{page}}}
        {\backgroundsetup{contents = {The background package}}}
        {\backgroundsetup{contents = {Version 2.1}}}
    \BgMaterial
}

\begin{document}

\tableofcontents

\chapter{My chapter}

\lipsum[1-5]

\end{document}

Answer 1

This adds \ifempty which is set by emptypage (modified). Note commands \oddpagebg and \evenpagebg can be changed at any time.

Note also that I did not have to add the tikz package; the background package does it automatically (which is why I consider the background package to be redundant).

\documentclass{book}

\usepackage{stix2, lipsum, ifthen, emptypage}
\usepackage[tracking]{microtype}
\usepackage[
    paperwidth = 6 in,
    paperheight = 9 in,
    margin = 0.75 in,
    bindingoffset = 0.125 in
]{geometry}
\usepackage[
    contents={},
    opacity=1,
    scale=1.5,
    color=blue!90
]{background}

\newif{\ifempty}

\newcommand{\oddpagebg}{\backgroundsetup{contents = {The background package}}}
\newcommand{\evenpagebg}{\backgroundsetup{contents = {Version 2.1}}}

\AddEverypageHook{
  \ifempty
    \global\emptyfalse
  \else
    \ifthenelse{\isodd{\value{page}}}
        {\oddpagebg}
        {\evenpagebg}
  \fi
    \BgMaterial
}

\usepackage{etoolbox}% edit emptypage
\makeatletter
\patchcmd{\emptypage@emptypage}{\thispagestyle{empty}}%
  {\thispagestyle{empty}\emptytrue}{}{FAILED}
\makeatother


\begin{document}

\tableofcontents

\chapter{My chapter}

\lipsum[1-10]

\newpage

\renewcommand{\oddpagebg}{\backgroundsetup{contents = {The background package}}%
  \tikz[remember picture,overlay]{\node[opacity=0.2] at (current page.center)
    {\includegraphics[height=\paperheight, width=\paperwidth]{example-image-a}};}}
    
\renewcommand{\evenpagebg}{\backgroundsetup{contents = {Version 2.1}}%
  \tikz[remember picture,overlay]{\node[opacity=0.2] at (current page.center)
    {\includegraphics[height=\paperheight, width=\paperwidth]{example-image-b}};}}

\chapter{New chapter}

\lipsum[1-10]

\end{document}