Stepping back a bit, although this paper is definitely valuable, it isn't that startling, because we already know that encrypted communications are vulnerable to passive attacks when the contents are predictable. It's a good reminder that "vanilla" encryption isn't necessarily the best way to protect privacy when the attacker can simply guess what we're transmitting because the search space is so small; in this case, it's easy to compare the length of what is being transmitted against a corpus -- and bam. There's only ~42k entries...
Entropy entropy entropy. It is your friend. Just so happens that VBR and DASH weren't designed to increase entropy when transmitting segments.