That was quick!
Just received a message saying that 'BF'
did have the door surround safety stripe and that despite how it appears in Dave Ed's photo, such stripes on Bristow 76's were in fact grey.
Enlarged section of BHBF showing the grey door surround safety stripe
Unfortunately, in Dave Ed's photo, Tim Collins is standing exactly where one might expect to see the 'Spirit of Paris' wording - if indeed it was BHBF.
All of this assumes of course that Alan Bristow was in fact willing to allow Margaret Thatcher to fly around Britain, at the height of her popularity, in a helicopter named 'The Spirit of Paris'!