Cars on the ground can, with little exception, stop any time they feel like giving up the chase and turning themselves in to the officers. Aircraft have no such ability, and if you were being actively closely pursued by another aircraft it could even prove fatal to try and land. That doesn't even take into account the risks involved to the people on the ground below, who the police in this case endangered by engaging in pursuit -- the correct action would be to have the ATC track the belligerent until it landed, and arrest the pilots there. Following it at high speed, closely, it precisely what FAA regulations were intended to prevent.
I could not agree more. One addition:
In the air, pilots have the authority to deviate from every rule in the book, if they deem it necessary for the safety of the flight. This is even stressed out by the FAA themselves in every WINGS seminar on this topic I've attended. Roughly the same authority goes to Air Traffic Control when a pilot declares an emergency.
Yes, my non-pilot friends, you read that correct. If a pilot declares an emergency, he is the ultimate authority in the sky over what he does, with ATC being his best wingman with broad authority to divert anyone else. That includes everyone with a badge as well.
Obviously, with authority comes responsibility. Once the flight has ended, the pilot must usually attend a hearing where he (or she) must explain their actions and may even lose their license on it. Every pilot is expected to show good airmenship, and the helicopter pilot pursuing a drone may have been making some judgements that are open for discussion.