If I attend the theater and the production includes strong lighting effects, whether full strobes or not, there will be a sign on the door of the theater warning me. The ticket taker will speak to me about the strong lights. The program will contain an insert warning of the strong lights to come. Before the play begins the house manager will come out in front of curtain and deliver yet another warning. This is both the law and insurance regulations. Because strobe lights are plain dangerous. Neurological conditions that are triggered or aggravated by strobe lights are fairly common. Significant numbers of people are harmed by strobes.
Of course out on the road you can do anything you please. Even if in a jurisdiction where your strobe is illegal the chances the police are going to do anything are exceedingly slim. The chances that you will inflict pain, suffering, injury are quite good. But you don't care so go ahead and do anything you please.