Yes, the sensor vane is integral to the internals.
It is indexed, according to the individual aircraft angle of attack of the wing to fuselage angle. I believe that if you consider the fuselage horizontal or at 0, the wing chord line is at an angle of 2.5 degrees on the 737?
What is unclear to me is why it is necessary for the AoA sensor to be a vane outside of the ac. It is assumed that airflow is horizontal, and the fuselage/wing combination is at an angle to horizontal. Why is the AoA sensor not internal like the IRU gyro?