Imperfect Information
The biggest problem with perfect information is that it does not exist.
There is more accurate information and less accurate information, but by no means is any of it perfect.
Information represents merely a moment in time. Even if every detail is recorded with perfect accuracy at the moment, it still impossible to fully recreate that moment.
Moreover, viewpoints on the same set of information often vary widely.
Different opinions and perspectives add value, but also make it clear that there is no such thing as perfect information.