Hawks and SAR rotary have standard routes in, through and out of Snowdonia which are generally at low level.
The route the Squirrel took would have been very unlikely to meet mil traffic - even if he had managed to stay VMC throughout.
CANP is usually used for specific sites - hang-gliding, USL work etc rather than a 'VFR' route.
Agree with your point about different attitudes to pressing on in poor weather RW vs FW.