Philospher,
Of course the IDF controls the area. The Israeli military goes in and out at will and completely controls the land. There are even Jewish settlements in the West Bank. I don’t think even the most right wing people in the Israeli government really deny this.
The Palistinians in those areas were NEVER given the option of Israeli citizenship. They didn’t “turn it down” it was never offered and never will be offered, as long as Israel wants to be a Jewish and democratic state.