on "Dancing Goat" sites are configured page types Scopes. You can see their configuration directly in Page types application, Scopes tab. Configuration of scopes ensures that you can create only brewer page type under Brewers section, etc.
If you would like to see a selection of page types, you can remove the scope described above and configure page type scope (Page types application -> edit some page type ->Scope tab).
See more: Limiting the pages users can create