Iran claimed Saturday it closed the Strait of Hormuz in response to Israeli military operations in southern Lebanon, but the US disputed that the waterway is actually shut. Both sides are heading to Switzerland for talks on Sunday aimed at finalizing details of their interim ceasefire agreement, though Iran warned progress depends on Israel stopping attacks. The dispute highlights how fragile the US-Iran agreement remains — Iran's threats over Hormuz have real geopolitical weight since it controls a chokepoint through which roughly 20% of global oil flows, but the US skepticism about whether Iran can actually enforce a closure suggests incomplete Iranian control or bluffing.