The recordings are in HD, there is no higher delivered resolution at sports grounds, to my knowledge anyway.
BUT, the difference in acuity for such purposes as detecting overlapping lines or images, especially in fast motion from multiple camera angles, can be massively enhanced by the use of superior screens with, for example, higher resolution and pixel density, and further when combined with hardware and software that can really freeze a single frame properly, then move to another one, with no blurring or artifacts arising from the freeze process itself.
A crude example, compare the same
well shot, sharp HD sports video file on all three generations of iPad. You'll notice significant increases in acuity and observable detail resolution with each generation, especially on the new iPad3, with it's much higher pixel density. The same will be true of the difference between a 'home suitable' 27" HD TV and an 27" HD screen used by a graphic designer or architect, the viewing quality differences are significant when comparing the same material very precisely.
It's not only the raw material, but the quality of the viewing and image management technologies that can make a real difference to assessing the apparent or otherwise simultaneity of Higgers' arm touch and ball touch, etc.