I'd argue that it isn't. Axe Cop is meant to keep the peace. Speeding is something that endangers people. Based on the urban setting, Axe Cop decreed a speed limit and anyone violating it is causing danger to innocents. This is not in violation of any moral code, and in fact only reinforces Axe Cop's belief system. Otherwise, any King who creates laws would be Chaotic.
Isn't it a fundamental requirement of the law that it be publicised
prior to penalising people for breaking it? Especially in the case of laws that are somewhat arbitrary in nature (things like which side of the road you drive on, how fast you can drive etc.). The speed limit in a city in Japan might not be the same as the speed limit in the US or Britain. And nor is it even the same everywhere in the city.
Also, speeding
can endanger people, but it doesn't
always do so. It depends on the circumstances. Rider, for example, can probably safely ride a motorbike on a busy street at well over 100 MPH, because her reactions are good enough that she can avoid any danger.
As for the "King" example, the fundamental difference is that a King considers himself to be a legitimate authority with the legal right to make laws. As a Police Officer, Axe Cop does not have that right, and it would take a
hell of a lot of dubious mental gymnastics to justify taking it, particularly in the case of something ill-defined like speeding laws.
What you're suggesting is more like the King's advisor making up laws on the King's behalf in explicit contradiction to the King's desires because the King is too incompetent to do so himself. Perfectly sensible, perhaps, but not really
Lawful.