I know what you mean, but in the technical sense, it’s not. Israeli ships went through it last summer to participate in excercises with the US Navy. I’m certain the Iranians had the same feelings.
After giving a 6 months notification and asking permission.
Point taken ... I'm sure the Israelis are taking this whole incident as just a "provocation" and will ignore it. International law and definitions therein can be redefined by the country in the crosshairs if their very survival is in question. Once again, just a personal observation.