They had the camera's in for the Friday evening session and you can see the listing Radio Times of a half hour television program (here).https://genome.ch.bbc.co.uk/page/e1a03d ... 11?page=44
Roger Lee's B&S Archive series also has an item listed as Fred Davis & John Pulman in the World Final at Blackpool...1956
I suspect that item is actually some clips that were broadcast in that half hour program. Easy to mix up 55 and 56 as they played both years and both at Blackpool.
Clive Everton's "Embassy Book of Snooker" (1994) has a fantastic double page photo of this match and you can see a single BBC camera in position.