I just found a case that says that the "expectation of privacy" can apply in certain circumstances for pictures being released to the public. I would assume this would apply to videos as well.
This case though is of a celebrity (Naomi Campbell) having her picture taken of her coming out of a NA meeting in England. She sued the "Mirror" newspaper for publishing the story and picture.
10. In the proceedings Miss Campbell claimed damages for breach of confidence and compensation under the Data Protection Act 1998. The article of 7 February formed the main basis of a claim for aggravated damages. Morland J [2002] EWHC 499 (QB) upheld Miss Campbell's claim. He made her a modest award of £2,500 plus £1,000 aggravated damages in respect of both claims. The newspaper appealed. The Court of Appeal, comprising Lord Phillips of Worth Matravers MR, Chadwick and Keene LJJ, allowed the appeal and discharged the judge's order: [2002] EWCA Civ 1373, [2003] QB 633. Miss Campbell has now appealed to your Lordships' House.
I have not read the whole opinion yet (it is massively long) but it gives the complete opinions of 5 Lords of Parliament. I will not copy and paste because it would take days to scroll through my message because it is so long, so I am just going to provide the Parliament House of Lords link to this case.
House of Lords - Campbell (Apellant) v. MGN Limited (Respondents) (parliament.uk)