It was a nicely produced video with ulterior motives. I expect to see a part 2 version soon where Harman claims victory for "fixing" the compression problem. You also have to remember that compression is used not only to save hard drive space but also to increase loudness which is all part of the digital loudness wars that plagues everyone who likes having dynamic range in their music. My point in saying this is we need to separate compression from lossy compression so they don't become blurred in the discussion. Harman's video was all about lossy compression and not compression used on 16/44.1 digital.
Instead of worrying about a fix for something that was broken from the start (and was designed to be broken), companies that deliver digital music to consumers should give us the best they are capable of, not the worst. If the artists really gave a damn about their sound quality, more of them might be demanding to be recorded in analog. It's not like good recording studios are clueless on how to make great recordings.