I don't think so. This area of the Peruvian Coast is among the driest areas in the world. It often doesn't rain for years on end. The Mancos Valley, at least the upper portion, is a beautiful mountain valley with lots of trees and lush grass.
And Mesa Verde overlooks the Mancos Valley, it isn't in it. Although that may be a trifle nit-picky. :)
Did you look at the pictures in the pdf file? Especially the one that overlooks the river valley, toward the cliffs and hills beyond.
The area looks a great deal like the Mancos Valley, as seen from the northern front of Mesa Verde.
Or, perhaps, the better perspective might be looking from the La Platas back across the Mancos toward Mesa Verde.