There is a video on youtube showing this game with permedia 2,whatever the limitation permedia 2 has it does not seem to affect performance.
Do a search Permedia 2 Quake 3 on youtube (on a PC).
From my point of view Bvision should be able to do this given it has a fast enough bus.
Peaches and creosote, I'm afraid. Most of the videos for old video cards are shown on Pentium-II/III class systems with AGP cards and vendor supplied OpenGL drivers. 3DLabs AGP Permedia cards were made for CAD and their 2D and 3D drivers were quite optimised.
So, an old 500 MHz P3 with AGP Permedia 2 won't struggle to run Quake 3 (with vertex lighting enabled) in the slightest.
Contrast this with your classic Amiga. Even if you can get the buses and CPU of your Amiga faster than the stock, you still have no L2 cache for your CPU, no DMA texture transfer between system RAM and VRAM, no interrupt driven double-buffered DMA for loading the command FIFO and many other cool things that I'm sure the 3DLabs supplied drivers make use of as standard.
On the Amiga, it's still CPU driven texture transfer and PIO. And it's still sitting below several layers of software abstraction (MiniGL, Warp3D). The entire set up is sub optimal.
I've tried to get DMA working but no luck. I have no idea if it's even possible with the Phase5 implementation of the hardware, for which I have no documentation at all.