I agree that the 400-800Hz range may benefit from correction.
I think where we disagree is in terms of what should be corrected here.
I'm arguing that, although the influence of the room in this region can be significant, it is inevitably (due to the wavelengths involved) highly position-dependent. In other words, the impact of the room will differ significantly with changes in position of as little as 10cm (in the case of 800Hz) and 20cm (in the case of 400Hz).
Therefore, correction in this region, if any, should be speaker correction, not room correction.
If you make a room correction at 400Hz, it can only possibly (physically) be valid within a listening position range of around +/- 20cm. For 800Hz, that range shrinks to around +/- 10cm.
This is too narrow for listeners who prefer not to have their head in a vice (so to speak).
Ok, we stated where we agree and where we disagree. I also made some effort to back up my opinion with measurements, so I suggest you try to do the same and then we'll see how the discussion would went from there.