According to a report, the Pixel 6 and Pixel 6 Pro have different front-facing cameras. The pair share two rear-facing cameras though, and should support the same camera options. For some reason, Google will restrict shooting videos in 4K and 60 FPS to only the pair's 50 MP ISOCELL GN1 camera.
https://www.notebookcheck.net/The-Pixel-6-and-Pixel-6-Pro-have-different-front-facing-cameras-as-new-camera-features-emerge.565022.0.html