In answer to the direct question: Double Click vs Single Click - are these mutually exclusive? The answer is no, these are not mutually exclusive due to the manner in which Windows needs to interpret your behaviour with the mouse.
However, in answer to the more vague question regarding a precedent where a double click does not include the behaviour of single click [i.e. The two events exhibit mutually exclusive behaviour], there are some specific events in Windows that appear to exhibit the behaviour you're asking about.
For instance - the taskbar applets:
- Single click usually opens a shortcut menu for that item.
- Double click usually opens the properties menu for the application which that task bar item is linked to without opening the shortcut menu.
The taskbar clock:
- Single click does nothing.
- Double click opens the Date and Time properties.
You may notice however that it takes a moment to respond to your request and as others have noted that pause is Windows waiting to see if you're going to double click. If you don't double click then the Click behaviour is fired. If you do double click then the DoubleClick behaviour is fired. In these specific situations it was deemed suitable to have mutually exclusive behaviour and there may be some others.
I think it really depends on the situation as to whether the different behaviour is "right" or "wrong" - I don't think you can equivocably say that one is right and the other wrong in all situations. If the behaviour you are looking to exhibit makes good logical sense from a user perspective [not from your own programmer perspective], then sure, make the behaviour mutually exclusive; if however it doesn't make good logical sense to the user then avoid it.