The fact that one of the Arleigh Burke class vessels was in the Strait with its AIS on was clearly intentional. Political message?
The USN has a number of LCS ships reported to be in the Gulf and which have - again reportedly - worked up with A10s.
A possible - of likely - scenario is that the LCS vessels conducted a mine clearance or confirmation,/checking operation with the Arleigh Burke providing additional cover. No doubt air assets would also have been involved.
As to the results, well, who knows?