Oddball relax, the whole program is under the Maritime and Coastguard Agency - they pay the chosen private company to do the SAR work, the same way it is done in Ireland for years. Right now part of the SAR missions are run by CHC using S-92s and AW-139s, as a proof of concept, and they are working good so far. Although there were some issues at the beginning because of the new machines used (it took some time until the S-92s got their aux tanks, and the AWs got higher gross weight provisions + the searchlight placement on those is less than optimal). Not to worry though, the government pay company to do the work, so you don't have to pay more than in your taxes.
Civilian aviation SAR work in Ireland, New Zealand (Westpac), South Africa, Switzerland (REGA), Poland (TOPR), and few others.