Show background photo only on non-empty page

Question

I'm using book class, in which I redefined the cleardoublepage to show "This page is intetionally left blank" when the page is empty.
makeatletter
renewcommand{cleardoublepage}{relax
  clearpage
  if@twoside ifoddc@pagerelaxelse
  thispagestyle{empty}%
  tikz[remember picture, overlay] node at (current page.center)
    {large This page is intetionally left blank};newpagefifi}
makeatother

I also set a background picture using AddToHook{shipout/background} (here I defined a conditional to decider whether to show the picture). Now I wish the background image does not shown on the empty pages. Can I do this by further modifying the definition of cleardoublepage?
Below is a MWE.
%! TEX program = xelatex
documentclass{book}

usepackage{tikz}
usetikzlibrary{calc}

makeatletter
renewcommand{cleardoublepage}{relax
  clearpage
  if@twoside ifoddc@pagerelaxelse
  thispagestyle{empty}%
  tikz[remember picture, overlay] node at (current page.center)
    {large This page is intetionally left blank};newpagefifi}
makeatother

newififShowBackgroundShowBackgroundfalse
AddToHook{shipout/background}
{%
ifShowBackground%
begin{tikzpicture}[remember picture,overlay]
    node at (current page.center)
    {Hugecolor{red} BACKGROUND};
end{tikzpicture}%
fi%
}

usepackage{blindtext}

begin{document}

begin{titlepage}
    begin{tikzpicture}[remember picture,overlay]
        node at (current page.center)
        {Huge TITLEPAGE};
    end{tikzpicture}%
end{titlepage}

ShowBackgroundtrue

frontmatter
Some preface

mainmatter
Main text blindtext[10]

backmatter

end{document}

Don Hosek · Accepted Answer

My instinct would be to build the background image into the page style rather than through the shipout hook. This gives more finally-grained control over where it appears.

Jinwen · Answer

Based on @DonHosek 's hint, the solution is to add the background picture in the pagestyle setting (here I use fancyhdr) but not globally in AddToHook{shipout/background}.
%! TEX program = xelatex
documentclass{book}