They could end up being like great big awesome computers and libraries - tons of information available at their fingertips... But how much capacity for innovation and creative thought? That's an entirely different process than recall, and eidetic memory is only about recall, not about active thought.
You might also consider introducing search algorithm issues. I'm out on the skinny branches of my recollection here - there's a set of functions that govern how quickly a search algorithm can function, given how much information it has to search through. The algorithms get more sophisticated over time, but the volume of information also gets larger. Since the "search function" in their brains would be hardwired by evolution, they wouldn't be able to upgrade to a more sophisticated search algorithm. So as their species amasses more data over time, and each member tries to collect and store more information, it could feasibly take longer and longer to access that information.
So for giggles, you could introduce a specialization solution to the problem. Maybe each member of the species has a base set of information that they gain as a child, but as they age and begin to show interest or aptitude, they have to specialize. Then they only have access to data pertaining to that specialty.
That would allow them to engage in creative thinking and innovation within that field as well as minimize the search function recall issues. It could also set the stage for some very interesting cross-species comparisons when they meet humans... since we tend to be very much generalists. Even "specialists" of the human species are adept at a great many things - especially if you're talking about a species that has specialization as a survival technique so their brains don't asplode.
... I may have ran on a bit more than you were expecting. I find this an intriguing and fun game.
