Sony Japan published this table. The lenses with the mark “*1” will get a firmware update in December to make them compatible with the A9III. While the lenses with the mark “*2” will always have an aperture value that is fixed at the aperture value set for the first frame.
Here are the notes (google translated from Japanese):
1: A software update of the lens body is required. The software is scheduled to be released after December 2023.
2: When shooting continuously at 60 frames/second or 120 frames/second, the lens aperture value is fixed at the aperture value set for the first frame. By setting the ISO sensitivity setting to AUTO or using the shooting mode in P/A mode, it is possible to achieve appropriate exposure according to changes in subject brightness even during continuous shooting.
via Asobinet