“Now that they are there, they’re going to be entrenched,” Hisham al-Omeisi, senior analyst at the Brussels-based European Institute of Peace, told the BBC. “And it’s going to be a lot more costly to push them out.”

Of course, the Houthis are not alone. They enjoy the backing of Iran, support that has become even more important for Tehran in the wake of the setbacks and defeats experienced by other parts of its so-called “Axis of Resistance” – Lebanese Hezbollah, Hamas in Gaza and the Assad regime in Syria.

“So they redirected their support to the Houthis,” al-Omeisi said. “And of course they need that support.”

Even though most analysts agree that it’s a mistake simply to describe the Houthis as Iranian puppets, events of the past few days raise an uncomfortable new reality.

Seven months after the US and Israel launched their huge, combined assault on Iran, the regime in Tehran now exerts authority over not just one, but two of the world’s most important maritime passages: the Strait of Hormuz, at the mouth of the Persian Gulf, and the Bab al-Mandab, gateway to the Red Sea (and the Suez Canal).

“Now Iran, directly and through proxies, controls two of the most strategic choke points in the Middle East and the world,” says Farea al-Muslimi, a research fellow at London’s Chatham House think tank, “controlling more than 35% of the fuel and oil trade globally.”

“This is as much leverage as a nuclear bomb,” he says.