Followup to my last post.
Here are some screenshots showing my desktops; select any to see them full size.
The first two illustrate doing nothing (it's just there to show what minimized apps look like in the taskbar) and hovering over one of the minimized apps (SeaMonkey).
This is another desktop, which has no apps running on it, hence nothing minimized in its taskbar:
Desktop cube just to show the multiple desktops:
I like absolutely NOTHING on my desktops, except pretty wallpaper. The way I have my KDE configured it's beautiful to look at, and everything is easily accessible, but there's no clutter. I hate clutter.