What's it supposed to be, though?
The 'hat' is actually a Guild Wars bandana - ironic, no?
I chose red for two reasons - first, it's bright and stands out nicely in most scenes, drawing the viewer's eye to it and the NCSoft logo it bears, and second, red is the Korean symbolic colour of death.
When I first started out with these ideas, I used an icon that would be recognisable in Korean culture - Yongary (Korea's version of Godzilla). I needed something bright and visual to identify him as the agent of NCSoft, and the GW bandana seemed ideal. Later, when I was looking around for other situational vehicles to convey the MMOKiller message, the NCSoft red bandana I'd already used was the obvious carry over choice to tie all the the images into a single theme. Take the bandana, stick it on the Matrix Architect (or the Mars Attacks leader, or the Rabbit of Caerbannog as I've also done so far) then add a quote from the source material manipulated to reference NCSoft, and the theme is continued.
The key with any such gag concept is repetition - in this case, keeping a repetitive motif that's shorthand for the MMOKiller running through all the material. In other words, the bandana