There may have been a 3 month overlap but Bristow is currently advertising it is ahead of the game by almost 3 months. I think you'll find there is no "monitoring" of 'civvy SAR flights to ensure all is well! The transition will be managed but you won't be able to get a fag packet between the stop and start times.
RAFSAR will end earlier than you think - in the
UK.
I still continue to be amazed at the mentality of military folk towards their civilian counterparts. Bristow won't even break sweat doing this for a living - credit where it's due please. They are a WORLD class operator, always have been.