All that and more, but see how many of them pull over for the siren.

EDIT: I misread your post. I think the typo "innocent by standards" might have thrown me off. At any rate, you're right: they can't chase them anyway. I'm not convinced that engaging in a chase in this particular case is the way to go, either. A bike is vastly more maneuverable than a patrol car, even in the hands of someone who is even remotely concerned about safety of others.

And the people suggesting "just get a helicopter / drone " don't seem to realize that helicopters / drones don't just instantly appear, can't stay in the air all day waiting for the right moment, and still don't identify the operator. At best, they get video -- and that can be worthless. Just because a bike ends up at someone's house doesn't mean that person is the operator.