I will check, however, the liquid appears to come straight out of the cover nipple. I purchased a new rubber cover despite the condition of the older one being adequate without apparent damage.
The overspray pattern appears to be originating from the top of the expansion tank, leaks down the tank and falls prey to the wind stream as it smears everything downwind.
The former owner told me he kept the coolant level very low in the expansion tank as raising it to the BMW standard only caused more mess outside the tank; was curious to know if anyone else had that issue or came to that conclusion.