Will I be able to sync offline Apple Music to non-internet Apple devices e.g. iPod Nano and iPod Classic?
Apple Music is not available on iPod nano and iPod shuffle.
See footnote 3: http://www.apple.com/uk/music/
I recently bought an iPod Nano, and I am very happy with it! The only downside is that Apple Music is not available for it. Which frankly is a new low for Apple, but I'm pretty sure they're gonna fix it up later. Although it might be a huge way for people to abuse the system. They could download a gazillion tracks into the iPod and never connect it to a computer again. For now Apple Music is not available in devices such as iPod Nano, iPod Classic or iPod Shuffle. Apple will find a way to find a way, but for now all we can do is... wait.