Maybe comparing apples with oranges, but the system down here is heavily civilianised, and has been for yonks. Civil SAR assetts are tasked by AusSar for offshore, and by local State Police for onshore tasks. There are no dedicated SAR units outside CHC's S76's on contract to the RAAF. Those generally called are EMS or Police machines with SAR capability. These guys are exceptionally professional, some NVG and auto hover capable, and have been involved in conditions that rival any to be found around the UK coastline, and many miles offshore.
The RAAF contracted Lloyds Helicopters, now CHC, to provide S76's for military SAR: IIRC, there are four + a spare, one each at Williamtown, East Sale, Pearce and Tindal. All are full auto hover, NVG and crewed for military call out requirements. The East Sale ("Chopper One") tends to be re tasked to follow the Roulettes around on displays.
I must stress that these operations are intensely professional, and comparable with the standards that you would expect from your UK military SAR units. In recent years two of the units in the SE of Oz have been recipients of International Awards, and deservedly so. The aspect of core military SAR being covered by contract civilian units was initially met with a fair degree of scepticism, which proved to be totally unwarranted: the contract was recently renewed for another long term, the security of which allows the operator to invest in upgrade equipment as and when needed.