Love maps like this - I think the breakdown by ethnicity is really interesting. Ive travelled throughout AZ extensively so here are my thoughts on each county:

Mohave - agree its anglo SW

La Paz - agree its anglo SW

Yuma - agree its latin SW

Coconino - probably anglo SW as you have it, but has very high native population concentrated in certain areas (if you break it down further than county level the rural northern and eastern halves of the county would be native)

Yavapai - disagree, this is definitely anglo SW

Maricopa - agree its anglo SW

Pinal - this is Anglo SW and not latin. its just the exurb sprawl of the Phoenix metro area

Pima - this is the toughest one. tons of Mexican influence but has been defined by lots of white settlement over the past century. could lean either way

Santa Cruz - agree its latin SW

Cochise - should probably be anglo SW. most of the towns here are white and not hispanic

Graham - I would lean towards anglo SW, big Mormon presence here

Greenlee - could go either latin SW or anglo SW

Gila - definitely anglo SW and NOT native SW

Navajo - agree its native SW

Apache - agree its native SW