Hi Jay, the arrows are in fact correct.
The source of confusion is that we are dealing with two systems of coordinates: 1. the celestial equatorial for the sky, and 2. the local horizon (geographical, terrestrial) for earth orientation.
When you are talking about directions in the sky, you use celestial equatorial coordinates, not the terrestrial geographical.
In the sky you have by definition the north arrow pointing to the North Celestial Pole (not the Zenith!) and the east arrow points 90° left of north, wherever you are in the sky.
If you happen look in direction of the geographical north, you have the celestial east arrow pointing to the terrestrial west, but you are talking two different things.
Hope this helps.
Ciao, Mau
Thanks @Mau_Bard et al ... but I have tried to picture this (in my head AND in the sky). If I look at the NCP, all celestial movement is coming from the east, which is to the right in the sky, and moving to the west, which is to the left in the sky. Of course, it is not my intention to be argumentative or controversial. Perhaps I just need a few more (dozen) clear nights to clear my head
