No place to assign user permissions to files.
Forces the documents folder to be in public_html - totally exposed - ignores my setting to go to another folder.
I guess you should not judge the component just by number of icons. :-) Have you ever heared about that there is a beauty in simplicity.
The new JoomDOC has almost all functions as the old had, plus it has some extra ones. However it is all available from a single interface.
The root for documents storage can be of course changed outside Joomla root. (the one in Joomla root created by default is protected by .htaccess file)