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Yes, room colour can affect how you perceive colour on any display.
Colours in the field of view should be neutral (white, through grey, to black), whilst nearly neutral colours are allowed elsewhere in the environment.
People usually opt for grey walls. Ceiling could be kept grey, but a slightly darker shade than the walls, or you could even opt for a black ceiling. Black walls aren't really recommended for direct view displays though.
A 6500k lightsource behind the display would also be ideal.
It's unlikely it will be 6500k, and you won't know what it is really unless you are able to measure it.
It also doesn't state the Colour Rendering Index, which should be a minimum of 90.
There is a light block film around the tube of the ideal lume, plus a baffle tube, so can adjust the amount of light hitting the wall, which should be no more than 10% of the brightest white your display has been calibrated to.
You may find the 13w bulb in the link you provided to give too much light, as it will be uncontrollable.