In the end the new GeForce RTX 4060 graphics card ended out just slightly above the Radeon RX 7600 in terms of overall performance. The Radeon RX 6000/7000 series on their open-source Linux GPU driver stack continue to perform very competitively with the NVIDIA GeForce RTX 30/40 series and their respective proprietary driver stack. Thanks to the work by AMD, Valve, Red Hat, and other parties on the open-source Radeon Linux driver stack the Linux gaming scene continues to become quite vibrant while NVIDIA also continues providing their first-rate binary Linux driver support on Linux that remains in excellent shape largely due to the shared driver code-base with Windows.
I switched from AMD to NVIDIA. I play games and do AI research. I regret my decision. I recommend AMD without hesitation in the current conjuncture.