I noticed that sometimes a ship will travel like one space besides a hyper lane and not use it until I move it manually directy on top of the line.
But normally the hyper lanes work. Only the indication of moves needed to reach a destination is not correct (those tiny numbers in the shown path from start to destination of a ship). They are still counted like there is no hyperlane, but when you watch a ship move on a standard line (+100% speed) it travels two sections of the path.
Also I'm not always sure if the calculation of the shortest path takes the hyperlanes into account correctly. If I have something like this:
A
B
C
If A is connected to B and B to C then if I want to travel from A to C the ship travels directly from A to C without using the hyper lanes. I did not explicitly measure the distances and calculate the fastest way myself, but it looks to me using the lanes in this case would be faster.