Hi! I am still a little puzzled - first you mention it was overriding the GI, but then in the last post you mention making it basic grey with no reflection or roughness, and reflection doesn't have to do with the usual overriding of GI (which is just overriding the Diffuse color to affect the bounced light). For overriding things like reflection, there is the current Material Override, where you can set everything to basic grey.
As for GI, if you mean override so that the scene looks the same directly (so wood still looks like wood), but the GI is just grey (bounced light won't take on the color of the wood - but this would have nothing to do with reflection), I don't think that would be any faster at all. All it would be is different in terms of the color and intensity of the bounced light, but it would still be bouncing light.
If you mean override with a black material to have no bounced light... well, I think that moves so far away from the physically realistic principles that at that point it would be as well switching to and engine that doesn't use GI. Having that level of realism is kind of the point of Corona, and "turning off GI altogether" seems a bit extreme :)
However, let us know more about what your request actually involves out of the options above, as I am still not clear on what you are asking for (how do reflections come into it, and should the GI material be grey which won't be faster, or should it be black, which would mean "have no GI at all").