The Saudis barely participated in Yom Kippur, from some brief googling they deployed a single battalion that saw a little bit of fighting in the Golan Heights. I honestly wasn’t even aware they had participated militarily.
Their much bigger impact was the oil embargo against the US, which caused rather famous gas shortages here and one of the most severe recessions we’ve ever had, during the Nixon years. Perhaps seeing the rest of the coalition demolished was enough? Though there were clear reasons for the Israeli victory that aren’t that difficult to understand. It’s far more specific than just Israel strong or something like that. That oil embargo ended up proving the power of OPEC though, dramatically strengthening the Saudi’s position on the global stage, which persists to this day.
Regarding NG, the main pipeline through the area for exporting Egyptian NG actually takes some pains to go around Israel, rather than through it.
This is such a tired old line based on the aircraft carrier rhetoric from the 60s, outdated since the Iraq wars and our own airbases going up all over the region.
Also the idea that Saudi Arabia trades in dollars because otherwise Israel would attack them fails to take into account that much of the rest of the world uses them too, since people like a stable currency that everyone else already likes.
You guys really need to update your rhetoric.