I do understand that there is the "possibility" of extra functionality via the Toolbar, but my experience (~30 plugins), I have only seen plugins add them selves to both the Toolbar and the side menu and never just to the Toolbar
Actually, that isn't always the case. WordPress SEO adds different menus, WP Super Cache adds a "Delete Cache" top-level and the update notice appears up there. That this is primarily a companion to Drop Down Admin Menu, and it doesn't supply these (the plugin update bubble doesn't appear any more—even with the 'Hide "0" Bubbles' unchecked), I leave it enabled.
Also when you disable the Toolbar via Ozh Dropdown Menus the blog quicklink is added to the menu and the logout is added to the Users submenu.
Is this still something that you would be willing to look into?
The next version addresses this. For a while, Ozh's Minimal Mode didn't work. In the interim, the method of detecting the Toolbar display has changed. Now that MM is working again, I'm enabling a new detectioon that places whatever menus are displayed at the top of the screen. Unsure about the older versions and don't have any installs that are that old anymore to test on, so may just make this version not as backward compatible as it has been.
Also when the Ozh Dropdown Menu is fixed via your plugin any bubbles that display are overlapped by the built-in Toolbar. I'm not sure if this is something that can or should be addressed in your plugin.
I can look into that. Except for the fact that they aren't showing for me at all; whether plugins need to be updated or not. I'm not getting icons on the Network Admin screen either. I've seen others report this on Ozh's site, so know it's not just my installs.
I'll revisit the naming but the only place it appears in the other order is in the .php file header. The readme has it the other way, as does the directory name. There are two connotations of "fixed". Depending upon the instance, the order changes to be more concise and unambiguous in meaning.