I know of no way to tell the game or driver to deliberately allocate more memory for the game, let alone for a specific subset of the game.
That said, the game seems to have no issues allocating all the VRAM it actually needs for whatever it's doing, and I have seen some areas use 18GiB+ of VRAM on my 4090 with custom settings.
Some performance improvement can be had by making sure ReBAR is enabled, but that doesn't actually change VRAM allocation, it just reduces the overhead of memory management.
I've played on the 5800X3D, 7800X3D, and 9800X3D. The 7800X3D is considerably faster than the 5800X3D (like 30%), and while I haven't played much at all on the 9800X3D (I'm still binning/building/tuning my new system), I am confident I'll see another ~10% uplift when I'm done.
So yeah, a 9800X3D is going to be a solid ~40% faster in non-GPU limited scenarios in Odyssey.