Well, he is one of the most powerful men in human space making him and those close to him targets for terrorists and kidnappers. By maintaining a level of anonymity in the event of an attempt on his life with some limited subterfuge he can get clear of the situation. Also, as RichardRichard mentions without his face being well known it is less likely that a telepathic agent would get close to him without going through layers of staff first. And he is the sort that would get those close to him, like Wade, counter-telepath training.
The shots ISN used were more to display the scene and use his death as a propaganda tool against the resistance. Also, at the time of his death ISN was less of a journalistic effort and more of a tool of Clark and Edgers had deep ties to the Clark administration. Pointing out an eccentricity of Edgars would not have served their purpose of framing the resistance. Especially since his death wasn't sanctioned by the Clark administration, but an independant op by Psi Corp.