They are not the same. It's not the map lightning, it's just not the same. His version does not have the noise and other things, yours does.
I am not 'attacking' anyone for their perception of the texture, he is attacking me for 'ruining' WiE's texture. He is free to get it wrong and misdiagnose the problem, but it is stubborn in the extreme to refuse to recognize when i point it out (with pictures) that the issue is not the texture. WiE's original which i am being attacked over looks just as brown under those lightning conditions. Hoi, in drawing incorrect parallels between a shot of a unit under white light with one under red light and asking 'Why doesnt it look like the first one?' is the one drawing false comparisons.
If a texture looks bad on in only slightly atypical (red coloured) lighting setup then the texture probably needs some work
There isnt anything that can be done, really, other than throwing a glow map in there which will help to mute or ignore the maps lighting settings, to make it less red on Tabula. If you've any suggestions there, feel free to offer them, but the truth is at the standard play distance the model is perfectly visible on tabula (mostly due to the glow on the teamcolour, which is the part that stands out at a distance). The map lighting is that way to give a twilight feel to the map and units, and yes, unfortunately some of them will look brown or pink as a result. Its quite misguided to try and 'fix the brownness' in the texture, and it is a ridiculous and misguided piece of criticism.
There may be valid problems with the texture (say, the teamcolour may have too much glow, as guessmyname pointed out- but again that helps with distance visibility) but noise and brownness are not among them.