Well at least I now know how those cyclists get onto the Autobahn because not realising that Apple Maps doesn't have cycle routing, the poor man almost ended up on a highway.
I think driving directions are similar or slightly better in Apple Maps. But finding the place where you want to go is where Apple is behind. Misplaced, duplicate, missing POIs is what we learned to expect. Apple needs to find a way to motivate all kinds of businesses to put themselves and their opening hours on their map.
Cycle ways are also quite well documented here. It shouldn't be an issue at all. Especially in such a big city. They even use OSM data officially.
My guess is: they just don't care because the market is not good enough and most of their customers are happy with car navigation. According to the wiki page [+] they have cycling maps in China which is ridiculous if you consider the bike infrastructure in Germany. It isn't if you consider the market.