Komascript style for empty page after page with `\part` title, or how to get page numbers there cleanly

Question

My question is very similar to this question, and solutions there might work, but I'm using KOMA-script. I'd like page numbers on every page, including empty ones. To this end, I passed cleardoublepage=plain as an argument to the scrbook class. This has the intended effect for empty pages introduced before \chapter, but not for empty pages introduced after \part.

\documentclass[cleardoublepage=plain]{scrbook}
\begin{document}
\part{One}
\chapter{One-A}
Hello
\chapter{Two-A}
Hello
\end{document}    

Several solutions are offered in the linked question, but all seem rather hackish to me, boiling down to a temporary redefinition of \empty. Is there a KOMA-script specific solution? \partpagestyle defines the Page style for the pages with \part titles. (KOMA-script 2012-07-22 user manual, page 71). Is there a KOMA-script way to define the page style for the empty page after the page with the \part title?

Answer 1

In scrbook the possible creation of the empty page following a part starting page is handed to the command \partheademptypage whose definition is

\newcommand*{\partheademptypage}{%
  \if@twoside\if@openright
      \null%
      \thispagestyle{empty}%
      \newpage
  \fi\fi
}

So you have two choices: either \renewcommand or a simpler patch:

\usepackage{etoolbox}
\patchcmd{\partheademptypage}{empty}{plain}{}{}

(use the page style you prefer instead of plain).

Caveat. I firmly believe that otherwise empty pages should have nothing at all in them. The page number is irrelevant, for them.