An interesting idea. They'd have to find a way to condense hours upon hours of sluggish battle into something outsiders can understand and appreciate. Lots of alliances and corps have montage-like recaps of notable battles, but it's not something that can be appreciated by the average person.
My thought is that they have the logs, and they know who was where, and when. So they feed that into an animation/rendering engine and can construct 'scenes' from pretty much any angle or view point in the battle, they can take time to render detailed ship interiors for 'in the battle' views (complete with NPC characters). Do the whole military channel 'great tank battles' type coverage with order of battle before the engagement, key maneuvars, voice over commentary from notable Eve strategists etc. I could easily be done as inexpensively as 'clip shoes' like 'Dangerous Acts of Science' (Science channel) and have potentially a much wider appeal.
That sounds plausible, not to mention an excellent way to boost subscriptions.
I suppose they could be used by movie companies though: Add actors on sets, voice overs, music, a decent plot. I'd go see the Eve Online Movie.