As a non-pilot, non police officer etc I would suggest that most people would generally support a police helicopter if it does useful things.
I suspect most people would think that keeping an eye on gypsies was useful and if it provided evidence that lead to their apprehension then fantastic.
I aslo suspect that most members of the public would not approve of them being used to spot speeding motorists as it is alledged some use up their hours doing.
I also guess that many members of the public would be surprised that it was so easy for "unknown" assailants to damage this aircraft be getting over a 4ft wall! I suspect most members of the public would anticapate that the helicopter was kept in a secure area, although I guess that it wouldn't occur to most people that it would be delibrately damaged whilst on the ground.