The issue is 1080i is simply an interlace HD resolution. 720p is progressive scan. Progressive scan takes away the "blurryness" or "funzzyness" that is around an image. This only happens in high resolutions when an object is in motion. This is why on NBC and CBS sports coverage, a still image is fine, like players in a huddle or on the sideline. But once there is fast action like a player jogging toward the sidelines, or running down field, the player or object the camera is following looks great, but everything else in the background that the camera is moving past gets pixelated.
This is why ESPN, ABC, and Fox broadcast in 720p. They realize that progressively scanned images at 720p offer the best picture with both slow and fast action.
Way down the road if broadcasters start offering 1080p resolution, then that will be the best resolution for both slow and fast images.