For siding systems (wood, vinyl, and fiber cement) and masonry veneers, there is virtually no change from standard recommended practice for cladding attachment details. One of the only differences is that all fasteners must be installed through to the studs as insulating sheathing does not have adequate structural capacity both in shear and pull out strength.
For Wall Section 1 and Wall Section 2, cladding systems such as traditional hard coat stucco (including thin brick and manufactured stone veneer) and acrylic stucco can be directly applied to the insulation board. With these types of systems it is recommended to use drained insulation boards (ones with vertical grooves cut in the back) or to use a vertically textured (or profiled) housewrap, to ensure that there is a drainage space behind the rigid board.
For Wall Section 3 and Wall Section 4, traditional hard coat stucco (including thin brick and manufactured stone veneer) should NOT be installed without the addition of at least one layer of building paper or house wrap between the stucco renderings and the housewrap or drainage plane sheathing to act as a bond break.