What you are suggesting the police should do is simply not practical. Who would they ask for a stream url? Do you want everyone running a stream to register with the local police? Do you want police to begin doubting every report or threat of imminent violence, endangering everyone who legitimately needs help?
When you get a call reporting an active shooter followed by gunshots you don't check twitch, you go. You bring the amount of force necessary to deal with what may be occurring but you use the minimum amount of force necessary to take control of the situation. That no one has died yet as a result of swatting suggests that they're largely doing their jobs. Whether or not they're responding to every situation, real or fictitious with excessive force is an entirely separate issue.
Jail IS a deterrent as these people have no expectation they will be caught and believe sentences would be light anyway. If they can become more proficient at finding these people, and sentences become more severe, it will absolutely reduce the number of incidents.