Saudi Arabia is not a "Gulf state" whatever that is nor Khaleeji. Only 200.000 people in KSA are speaking a Khaleeji dialect and only the coastal regions of the Eastern Province of KSA are bordering the Gulf which is only a small, small part of KSA. Ironically thats where the Shia population of KSA reside, mainly.
Rest of the country are culturally, linguistically, historically etc. not part of the "Gulf region" on the Arabian Peninsula.
I am from Hijaz for example, which half of Saudi Arabians are, and it is located nearly 2000 km away from the Gulf. We are historically, linguistically, culturally etc. closer to the Levant, Yemen, Egypt and Sudan than the Gulf.
Just so you and the others know it.
It is a misconception many don't know about.