What different sorting algorithms sound like 16 years ago
No. Under some simple guidelines, which the model follows, the sorting algorithms won't sound like just about anything.
If you sort random permutations of the values [1, n], and map some monotonic property to the values, then not only are there provably some sounds which certain algorithms make that others don't, but more generally there are 'average case' signatures for each algorithm that give them their own recognizable cadences, and that is exactly what this video is demonstrating.
That you can use a 'boop' or a 'beep' or 'buzz' or invert the monotonicity is obvious and irrelevant.