The VHF feed to the 'entertainment' channel would be switched off on any flight I am captain of should my airline ever decide to provide this feature.
I am not there to provide entertainment for passenger amusement. The same would go for any external video cameras.
Just think it through, the captain would always be given the sanction of turning the feeds off. If it is switched on, for 99% of the flights from engine start to shutdown, but switched off for 1% due to technical problems or weather conditions not for public consumption, what would a nervous passenger think when it was switched off? OMG, we are going to die? Much better that it is not switched on to start with, imho. Ignorance is bliss.