Yes, apparently it is. Can you explain how my fact about transferring play count is specious? If you manually manage your music there is no transfer of data from the iPod to the computer you sync with. So you are saying for play counts, and contracts with artists, Apple is supposed to tell them that they are trusting people to auto sync and transfer the play count? Or can you not understand that when you manually manage your music it does not transfer that information?
Glad you understanding different levels of CPU performance, kernels, OS and I/O. The CPU for the Nano was designed at least 4 years ago and has not been updated since. It is designed to run the limited Pixo and play music/videos and FM music. It hasn't even been hacked (earlier versions of the Classic were and had forms of Linux on them). And ask Apple and Taylor Swift about why I included royalties.
FairPlay for music is dead and has been dead for a decade. There was an update that was designed for movies but it was also discontinued.
Bottom line, Apple Music is not available for the only remaining non-iOS iPods left, the Shuffle and the Nano. You can write to Apple and ask that it be made available. Perhaps there will be a new line in the future that will have it. But for now neither you nor I have it available. No amount of Google searching will make it available. No amount of posting here will make it so.