Are you experiencing issues connecting to other players or servers? If not, it really doesn't matter what the status is, as it doesn't effect connection speed. I haven't played Crysis 3 so I don't know what kind of online play they offer.
And if you're DMZ host, all ports should be open except those being forwarded. I would check your router settings to see if any ports are being forwarded and if Crysis 3 ports fall within range.