Once again, agree with most everything you wrote - except Yemen’s strategic position. If Yemen, with Iran’s support, mines the straits, and/or positions antiship missile batteries, the Suez Canal is effectively blocked and Europe is cut off from the Persian Gulf and points east.
No oil, no military power - which would be potentially fatal in a fast-moving war with Iran or Russia. Never dismiss a small, primitive country in a strategic position.
I realize countries don't always act rationally but the only reasons I can think of for Yemen to try such a thing would be either a) a cry for help (e.g. let us smash them to bits then beg for aid) or b) the Iranians play them for bigger fools than they have been already. I say they got way too many problems already to pull such a stunt. But if they did, we can deal with it. Anyway the point was, for now at least, Trump is playing a hand and Yemen probably is a factor but not a danger since Trump is the one who demanded the cease-fire. Clearly there is a diplomatic opening and I don't see the Yemen government pulling a Hirohito on us even if they are an Iranian puppet. Meanwhile it is clear Trump is going after the puppeteer.