It should be that a circuit remains closed and operational if it has continuity. In fact, a continuity check for electrical and electronic wires and components is recommended in all service manuals. This kind of diagnosis is done in order to see if the electrical circuit is completely closed and has no opens.
Just so you know, the continuity check is generally conducted in the following fashion. First, the range selector is set to the highest resistance range possible. Then the multi-meter test leads are connected to the opposite ends of the electrical or electronic wire or component being tested. Finally, the technician reads the multi-meter. If the reading shows zero, then it means that there’s continuity. Alternatively if it shows infinite reading, then there’s an open circuit. Again, this is not to encourage you to do the test or reading on your own. Instead, this is to give you awareness of how the procedure is done.