This is the right place for discussing the documentation. 
Yes, it is possible to add Latest Activity, Comments, or anything in different tabs. In the case of Activity, you might want to look at the sidebar_widget_activity method in the Activity class (plugins/activity/activity.php). You'd first need to check if that file exists, and then create an object of type Activity with $act = new Activity($hotaru); Then you can use $act to call other methods like $act->getSerializedSettings('activity'); $act->getLatestActivity(10); and $act->getSidebarActivityItems($activity, $activity_settings);
All Hotaru plugins are classes, so you can create an object of any of them to include in your tabbed sidebar box. JavaScript can be added easily just by pasting it into your tabs template. The biggest difficulty (at least for me) is the css/jQuery you need to display and change tabs.
Note that from Hotaru 0.9, this line in the documentation will be changed from:
PHP Code:
$sbp = new SidebarPosts('sidebar_posts', $hotaru); // provides access to SidebarPosts functions
to
PHP Code:
$sbp = new SidebarPosts($hotaru); // provides access to SidebarPosts functions
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