Jim, I have just rewatched the whole programme from start to finish, and the relevant section (18-33 minutes) twice.

Alibhai-Brown is the only person who ever mentions wristbands.
No such audience member as you describe appears at all.
Here is the programme.
http://www.bbc.co.uk/iplayer/episode/b06zcm4g/question-time-28012016

You did lie, and have compounded that lie with another.