Thanks for the answers. By translation data, I mean will a walking character actually walk forwards if the BVH file includes the forward motion (i.e. translating the character on the X, Y, and Z axes)?

The example that you demonstrated in the video had the character walking in place--though that may be because that particular pose may not have translation data written into it.

Posermocap - Motion Capture animations for Poser and Daz3D.