No you are incorrect.
Saudi A is the most powerfull member of OPEC, they push their agenda through. That is something else then what you say: ignoring OPEC (BTW OPEC votes by consensus). If they saw no value in OPEC then they would have left OPEC years ago. OPEC is like a union: the more members you have the more powerfull it becomes so it makes from a politically view the most sense to become the most powerfull union member, this makes them de facto the oil price requlator.
It's in Saudi A interest to keep the current UN santions against Iran intact which limits their imports/exports of all goods including oil.
You seem to agree with me concerning Yemen, see my previous reply:
"It's only of strategic interest next to important shipping lines to the suez canal. "
so we only seem to agree on that part, everything else you state is simply wrong.