I wonder if neuropathological mechanism and neuroanatomical mechanism do overlap in the investigation of cognitive deficits. How do you define "neuroanatomical mechanism" if the term is correct?
I believe it depends on context. The relationship between structure and function is very difficult to map. Neuroanatomy does not always map to cognitive function in a 1:1 relationship. Gerald Edelman's work on neural degeneracy as well as J.A.S. Kelso's work on this topic might be very useful to read. Degeneracy refers to the structural variability that underpins functional plasticity. You may find this conceptual framework to be a useful way to talk about neuroanatomy, neurophysiological processes, and cognitive behaviour.
No I'm afraid that the term "neuroanathomical mechanism" is incorrect . Its more beneficial to think of deviations in cognition and perception as circuitry changes rather than mapping to specific neuroanathomical loci.
To further add to the discussion, without longitudinal data demonstrating specific neuroanatomical changes underlie cognitive/behavioral changes or differences, then with only cross-sectional data you would really be looking at 'neuroanatomical correlates' of cognitive dysfunction or deficits.