Either process involves Photoshop (if not another stitching or editing program). In my opinion, it's much easier to do "in-camera blurring" than in Photoshop. You don't have to bother with masking out the subject.
But again, I think the larger issue is that of compression and distortion. Those trees in the background of tmckitterick's image above will look further behind the couple and the cement post of Magnus3D's image will be distorted to look wider. Others can correct me on those points if I am wrong.