Allow pinning individual page sidebars
Currently, the sidebars on pages pin only if they are an entire site sidebar or homepage sidebar.
That disallows having different pinned sidebars on different pages.
Moreover, entire site sidebars display on the 'Unlock Page' page, which would not be wanted if you want all of the content of your pages (including the sidebar) to be private.
It seems pretty basic to allow having different content on sidebars on different pages, and to choose to pin all of them or some of them individually, and for the sidebar not to be visible to people without a visitor password.
I can't think of any reason this is not already enabled.