So, let me give you all an explanation on this. Basically, Azuma Yuki gave up trying to get an editorial to publish the sequel of Hoshihimemura to her standards (no censorship and as much lolis-doing-questionable-stuff as she wanted) so she decided to publish what she had already done of the sequel a an special compilation.
TLDR: There are 4 new chapters of what could have been a sequel and that's it. There will be no more Hoshihimemura.