Of course, the ultimate citation or arrest does not need to be related to the probable cause. Real life example, an officer I worked with pulled a lady over because she had something large hanging from her rear view mirror that was impeding her vision. When she rolled down her window to greet the officer, it was obvious from the smell and appearance of her eyes, that she had been drinking. She was ultimately arrested for DUI, but that wasn't even suspected when he initiated the stop. But everyone probably knows that already.
T.