The Red Arrows normally transit in a very loose (for them) formation when in transit so presume will be looking 'out' as 'well' as in.
These days they are getting more and more concerned with anyone flying in the same hemisphere as them. Okay as others have said not good for display infringements but if you want to fly at 'low-level' from A to B on a Saturday afternoon then best you look out. Perhaps they are doing en route fly pasts at car boot sales etc but do they really think we amateurs always talk to a radar equipped ATC unit whenever we are flying?
Years ago they demanded that airfields grounded all their aircraft one Sunday morning as they flew up the A1 from Alconbury to Lincoln in fromation with a BA 747 for a naming ceremony - all at 1500ft. It was pointed out that airfields (with A/G operators) couldn't ground aircraft and asked if they would like to pay the flying schools compensation for loss of earnings....
Another time they turned inside an active airfield ATZ within 0.5nm of a parachute DZ turning for a run over a scout jamboree all without talking to anyone, no NOTAM etc - they certainly begged forgiveness from the damned civvies on that occasion.