I guess the lesson is, if you are going to crash, don't do it on a border :-)
Alternatively, if you do have a crash on a border, it would probably be best if you rolled or skated deeper into the county of choice, to ensure you avoid being passed from one service to the next.
The big question is how far into the county do you have to be to be considered "safe"? Do you think 1/2 mile is sufficient? :-)