Not even, the correct analogy would be to view all the CCTV cameras in the city, no matter who owned them, on that day to see who was wearing a particular shade of grey hoody.
Why would the cameras have to be in closets? If the hoodie is in your closet then you aren't wearing it so it means nothing. If you are seen wearing the same clothes as a suspect in a crime in a nearby location at the same time then I think that's a reasonable way to narrow down a list of suspects.
Are phone calls not also done in the safety of your own home? Can police request call records? Google does not exist inside your house, neither does the internet. No reasonable person could believe that they do.
