Houthis open adversaries, Saudi, are aware that they are not really Iranian proxies [0]. Sunnis in Lebanon are Persian Shi'a 'proxy' only since their leadership was assassinated during negotiations in 2024 (also by this very liberal definition of 'proxy', eastern Iranian clans are US/Israel proxies, and killed more Iranians than Hamas killed Israelis, so I'm not sure we really want to get into it). The only proxy Iran had were Iraki Shi'a paramilitary forces, who agreed for a ceasefire to let US troops and diplomats get out of Iraq, and once the evacuation was done, got their leaders bombed. Never trust the US.

[0] https://houseofsaud.com/houthi-threat-saudi-arabia-red-sea-i...