This plugin is actually very good for creating hierarchies of default post types too.
I modified the code a little to get it to see my default posts.
Line 251 modified to: return "post";
Line 296: deleted.
With that, I was able to put my default posts into hierarchies. Now why would I want to do that? The answer is: breadcrumbs. The breadcrumbs feature in Yoast WordPress SEO plugin can read the hierarchies created by CMS Tree Page View and output the breadcrumbs accordingly — very convenient and flexible.
I will use the plugin to create these hierarchies now. Even if my modified code gets overwritten in the next update of CMS Tree Page View, the post hierarchies data will remain stored in the database, I think. So, I’ll go ahead and arrange my posts with CMS Tree Page View, but I hope that you will allow default post types to be arranged using this plugin in the next update.