They have always been able to task their own helicopters locally but nationally it has been co-ordinated by the ARCCK - having one do civil and the other military is a complete nonsense.
That WAS the case however the S92's under Bristow in the North of Scotland take their tastings from the ARCC. (Coastguard request scramble of a/c from ARCC)
Likewise with the CHC fir on the south coast, they take their taskings from ARCC now.
Ops normals are conducted through the ARCC on HF or Airwaves.