Iran is currently using the Strait of Hormuz to exert pressure on the entire world, particularly on the global economy. Why not do the same, through the Houthis, in the Bab al-Mandab Strait, which could serve to demonstrate the effectiveness of Iranian leverage in the region, including in Yemen?
The missiles launched by the Houthis may cause some annoyance to the Hebrew state, nothing more. However, this annoyance will not affect the current balance of power.
The Houthis have no value except in disrupting navigation in the Red Sea. Such navigation does not concern Israel, given the halt in activity at the port of Eilat. If the Houthis move to threaten navigation in the Red Sea, it will have negative repercussions on the Suez Canal, affecting Egypt, which has sought—and continues to seek—to stop the ongoing war between Iran on one side and the United States and Israel on the other. Disrupting navigation in the Red Sea will also impact global trade flows.
Iran wants to internationalize its war with the United States and Israel. This is what it threatened before the outbreak of the war in late February. The question now is to what extent the “Islamic Republic” will be able to use the cards it holds across the region—from Lebanon to Yemen, via Iraq.