Not that this is a root-cause solution, but have you tried the Nvidia denoiser (or the Intel OpenImageDenoise)
I always immediately turn off the Gamma function in Cycles, because it seems more trouble than it’s worth. I don’t even know what it’s there for. Lighting adjustments may be required.
I’m wondering if the splotchyness is simply the result of a 24 bit image, with only 8bit per color channel, so you are hitting the wall in terms of what can be displayed.
It does look like the results of using a 256 valued color pallet back in the Windows 3.1 days.
So I suspect that you are right.
I could try emulating the r7, behind, the camera light. I got some nice images from that. Or just use a brighter HDRI. I initially saw the splotchiness using a dimly lit scene and tried removing the other light sources to see if the problem was a low dynamic range: LDRI.
and here a file to play with. In case it helps figure things out. If I’m way off with my simple model - does it kind of represent what you are trying to accomplish? If not feel free to tweak to bring it closer to what you have and reshare so we all can have a look.