Is the camera the same for all P4, P4 Pro, and P4 V2.0

No ... the Original Phantom 4 had a different camera without the controllable aperture.

The P4 pro (both versions) and P4 Advanced all have the same camera.

Hi, Dog Man. Thank you for reaching out. You may refer to the statement of our fellow DJI Pilot Labroides on post #2. In addition, the P4A and P4P have 1" sensors rather than the original P4 which is 1/2.3" so the image quality is superior on the newer P4s.  Hope this helps. Thank you for your valued support.