Iran and the Houthis?

A leading Yemeni security official has accused a Muslim country of aiding the Houthi rebels. My first instinct is that such a country would probably be Iran, which is also indicated by the article, though it seems a bit of a stretch to suggest that Iran is interested enough in Yemen's politics to support an insurrection there. It may be that Yemen is trying to tarnish the rebels with the brush of foreign support, but more likely they're getting money from smuggling or perhaps freelancing Saudi princes who aren't theologically particular.

(The Houthi group is Zaydi Shi'ite rather than from the Twelver branch which is dominant in Iran, but that's probably irrelevant.)