The Lake District Essential Trails book suggests anti-clockwise but I’ve found some of the rides in the Peak version are often the opposite way from the norm.
That’s because it’s a different route to the one you’ve linked to! It doesn’t suggest anti-clockwise, it does the Latrigg Trail both ways as a result. It goes over Latrigg the ‘wrong way’, then down an really nice singletrack stretch to Mungrizedale is awesome, then there’s some okish stuff roudn the back of Skiddaw, then up past the falls and along Latrigg the ‘right’ way.
Personally, I much prefer this to the half road route.
But yes, Latrigg is better north to south.
EDIT: Just looked at the guide – are you talking about the short anti-clockwise loop? That does go the right way along Latrigg.