Their processing works perfectly - why would you need an NN?

I don't know if you know, but NNs are better than anything at everything. /s

NN would be more useful maybe for "recognize this song by me humming it, da-na-na'ing its main riffs, or badly singing a few words".

Yeah that's true. I would hope they would make that a different function though. Google uses NNs for the android keyboard autocorrect now and it will incorrectly change correctly spelled words that I wrote 3 words back because it decided I wanted to write a more "likely" sentence. It replaced "worry about that" with "sorry about that". The shotgun approach of NNs in certain scenarios is infuriatingly frustrating. Sometimes an exact match is preferable to a probabilistic method.

The data set could be really useful.

Apple has rather good music data, too.

I'm assuming they just want one more icon that leads to Apple Music and not to Spotify

NN isn’t a magic bullet. You still need data, inputs, and users.

Branding is nice too.