Mario,
That is what it does. It is a normal plugin. If you put the plugin in a wiki you have a working wiki. The button is doing exactly what you describe, so if you remove the plugin the button doesn't work because you don't have the patch to apply.
It is quite literally exactly what you are describing.
Perhaps the demo is confusing, the demo is a read only wiki, if you install the plugin like the instructions say it is exactly what you describe.
I had to pick between people not reading the instructions and asking why you could edit the demo wiki and not reading the instructions and asking why you couldn't edit the demo wiki.
I guess I will change it to the other way and see what questions I get.