Why synthesis, well if you would work with synthesizers you would know that analog synthesizers are still highly sought after, not just for their pleasant mistakes, but also for their analog qualities for creating the basic waves, on which additive synthesis is based, as audio professional this should sound familiar to you. (btw great, another person on head-fi posting a ressume)
That nice couple of graphs, were actually sines produced by dacs, and that quantising you are talking about has to do with the fact that digital systems work at the core with binary (electrical signal on
or off, nothing in between), the steps (and the amount of steps) just shows the resolution, however, its never perfect (its like diving 1 by 2, and then again by 2 and so on, you'l never get 0). And this has nothing at all to do with why cd's excist, cd's work with this
exact same principle! Ever think of why a cd is '16' bit? And why higher quality audio is now going to '24' bit??

The dac can never perfectly recreate it coming from this 'imperfect' source. Else there would never be a need for a better quality source (eg 24 instead of 16 bit etc.)