the article misses the most important point.
the action preventing Saudi’s from visiting Iran most importantly prohibits the shia Iranians from visiting Saudi Arabia. that is, no hajj visas to Iranian shias. they are cut off from Mecca
The reason SA panicked several months ago about the Iranians in Yemen is that the Iranians put a force there that SA thought was capable of striking into SA and taking Mecca, and destroying the haj. So SA came up with their 10 sunni nation force to fight "terrorism."