I also have the 2080Ti OC and the F4 BIOS update similarly doesn't work. The F4 update appears to flash the BIOS, with the display going off a few seconds, and reports that the upgrade is a success. However, like the previous poster, the Auros engine still shows F3.
The fan pulsing/noise is unfortunately quite irritating and I haven't experienced anything quite like it in 20 years of building PCs My return window expires at the end of this month, so if a real solution isn't available by this time next week, I'll have no choice but to return the card. I really don't want to have to do that as the card performs really great, but I can't live with spending over £1,000 on something which I know other cards do not suffer.