>In theory. In practice you can only act like a bully like that when you are already on the side with much more power. Repeatedly swatting (or whatever, doesn't have to be swatting) people richer and more powerful than you will just get them to use their power to make the problem go away (maybe by leaning on politicians to lean on police to not respond so over the top to unsubstantiated calls or to create harsh punishments for the callers).

They'll only be able to keep the police from responding at their home and office, anything beyond that will be difficult and require significant constant effort to arrange. And besides, it's not enough to just coordinate this with the local police, you'll also need to talk to various state agencies, sheriffs and so on.

A bomb threat will take down a plane, a single individual targeting you can permanently prevent you from flying commercial. A single individual submitting online visa applications with threats can make any kind of border crossings extraordinarily difficult too.

There's no end to the awful things a person can remotely do to you if they know who you are, being a powerful executive just leaves you much more exposed.