>>109809718Because Peter didn’t ask for any information on Beck, the system is made to follow Peter’s commands, it’s not going to provide Peter with any information unless commanded to do so, further more, Beck didn’t do anything to warrant a criminal record until he became Mysterio, the most EDITH would have shown was that Beck is an ex-stark employee, and Peter would continue to believe Beck’s story about the Multiverse.
This isn’t something subtle that was hidden in the movie for sharp eyed viewers, it’s a big part of the movie, EDITH follows Peter’s commands exactly as they are spoken.