If the page has an odd number it will jump automatically to the right position, if shuffle page property in the page panel is allowed and if it is allowed to shuffle pages of the spread.
In the book panel you have also to set up you book numbering options.
Ohhhhh! It's working!
It all makes sense now. I get it.
FYI, in western left-to-right-reading languages, books are expected to be numbered with odds on the right and evens on the left. If you want to start a new section on a left page after a section that ends on a left page, what most people would do is add a blank right page. You will often see such a page labeled something like "This page has been intentionally left blank." or maybe just an ornament to show that it wasn't a misprint. That is preferred to numbering a left page with an odd number.