Why didn't Saudi Arabia and other countries send troops to participate in the six wars in the Middle East?

Let's just say, because there is no need to involve him. Once he gets into it, it's hard to say that he can leave at once. Saudi Arabia insists on wearing a suit. People are in the oil business, so why fight with beggars who don't even have shoes and beat themselves into shorts? Unlike the United States, people engage in military hegemony, selling arms is king, and fighting and killing is a matter of course.