One reason to filter emails
Is to catch the spear phishing emails aimed at your important staff.
Running a check for mail from/to an address very similar to the corporate email domain and originator/recipient of a staff member could catch a major phishing attempt.
Downside is that you would pick up all sorts of other crap as well then have to deal with it.
For mis-addressed emails, just read the headers then send a message to the originator saying you are holding the message (in one hand, with one of your bodily extensions in the other) and can they confirm the recipient. Or, better, can they re-submit. With more detail. No - bad idea. Still.......
This assumes that (as others have suggested) you haven't been forced to do what mail rooms used to, and correct obviously wrong addresses.