Edit: yes, I was saying 4070S but I meant 4070, my bad. I thought they were the same card (not the Ti variant) but are different.
Example, assuming
6700 as PS5 equivalent (that's a separate debate), adding a 45% faster rendering/fps the most similar one you get is the 4070 when removing the other ones due to the reasons mentioned (no DL in AMD, too low VRAM on 3080 etc). Here you have a random case:
https://technical.city/en/video/Radeon-RX-6700-vs-GeForce-RTX-4070
But well, obviously the case in any benchmark will vary depending on the CPU, GPU, memory, SSD etc used in each case.
That's the raw fps performance, on top of that there's also the differences between using DLSS, PSSR, FSR etc. obviously varies the performance on each device.
Obviously there will be also differences between RDNA3/4 vs Nvidia etc. And even between the PS5 Pro one and the future potential PC equivalent (integrated memory with higher bandwidth, different clock boost, etc).