The DisplayPort is outputting sRGB in Apple display setting gamma. It's not a broadcast signal.
The Mini monitor is for monitoring a broadcast signal (like Rec.709) on an HD display or Calibrated Broadcast Reference monitor.
All depends on your final delivery requirements. If you are delivering to the web only you probably don't need the mini monitor.
If you are mastering for broadcast, digital cinema release, DVD, etc then you will benefit from proper monitoring.