If the administration had barred travel to Saudi the left would be screaming racism.
Saudi Arabia is not an OPEN country. One needs a visa to get IN and a visa to get OUT. There are no tourist visas...business visas yes and Hajj visas, yes, but people can't just fly into the Kingdom for a visit.
Their annual hajj is based on their lunar calendar so they have already figured out when to close the country.
Our administration knows all this, I'm sure.