I think your photomode was using PhotoPreset like the system camera and it actually do not support Stabilization so it looks like very smooth and video mode was using cinematicExtended and it did will cause some lags. I will suggest using AVCaptureVideoStabilizationModeStandard and it should be the same as system camera
TracyTann
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Typo in the title: The FOV is inconsistent when taking photo if stabilization mode applied in iPhone15 pro max