you need to look at his in small sections. In the 1st case you have a single reduction in area. so if your volume flowrate is constant but your area is halved, then velocity is increased.
With the angled coil, a a whole load of assumptions come in for simplification. But we did a bundle of those earlier anyway.
For he angled coil, think of them as a series of bars. clearly if they were widely separated, you would have minimal contraction and so velocity would increase but not greatly. with small separation you have a similar effect, assuming ideal fluid, which is mathematically ok, but in real terms not.
in reality you would have all kind of flow conditions, boundary layers, vortex streets, laminar turbulent transitions, that the idea of velocity is a bit meaningless. it would vary throughout the region of interest.