As far as swamping the defense, that is basically a non-winner. Unlike ballistic interceptors. The rate of fire, azimuth, slewing across the horizon are all pretty impressive.
It can even nail inbound artillery shells...
"As the nation's only laser weapon, the THEL testbed has shot down a variety of threats since 2000, showing its versatility by destroying about three dozen targets, ranging from Katyusha rockets to artillery shells and large-caliber rockets, and now mortar threats as well."
Here is a depiction of the fixed installation:
