OT: Cable shielding, braid -vs- mylar wrap+drain

Our staff was discussing a shielded cable question this afternoon; When it comes to shielded cables, does a braided shield offer any significant improvement over the wrapped shield with a drain conductor?

I didn't have a good answer, so I thought I would toss it to the lions.

Here's a Belden Tech Bulletin on the subject. I haven't read it in detail, but I did see that it gets into the various shield types.

Brian