I think that's an excellent idea 722, and a very good point about the value of the free publicity (particularly during the downtime between game releases).  They could use the help.

I think I know that Eidos has exactly one guy and one guy only responsible for world wide customer relations/fan interaction right now for Tomb Raider (they plus up a little for other games that have a launch soon, but TR won't have another game lauch for quite some time), no webmaster for their site with the ability to add new stuff, and are, as usual, sort of bureaucratically stuck in time while they sell their company to the Japanese makers of the Final Fantasy games (Square Enix).  I'm very much suprised they found the time to spank the vendors here, certainly a delayed reaction in the case of the Irina Adventuress stuff, that's been around for at least four years already.

Point of all that is that I suspect they lack the ability/vision/interest at the management level to do something that makes as much sense for them as what you described, 722.