We might have to come to an understanding of what constitutes the "army co-operation role".
Quite a number of the aircraft you named 7th paragraph were often called "General Purpose" aircraft. Some tended to bounce back and forth, one version was a day bomber, another version or mark was "general purpose" aircraft and yet another version or mark was an army co-operation aircraft. The Hawker Hardy for instance was pretty much a Audax with the radio removed and a tent, bedding, food and water carried in it's place. Range was 380 miles?
Army co-operation covered a multitude of roles from artillery spotting/battlefield reconnaissance to the ever popular message pick up using a hook (also used by many other air forces to a greater or lesser extent) and the bombing of tribesmen in the colonial policing role which is where the RAF started to compete with the army for funding. A few squadrons of aircraft were cheaper than battalions of ground troops and could cover a much wider area. But army co-operation in the Mid east was not what army co-operation in a continental war would be. Many other air forces did try to build multi role "army co-operation" aircraft. Success was elusive.
attack aircraft are somewhat different. The Breda 65 may be somewhat under rated. Granted it was an old design, like the Battle, but it was intended not for the rather nebulous role of "day bomber" but to bomb and strafe enemy troops in support of combat operations.
From wiki " 23 Ba.65s sent to Spain, 12 were lost in the course of the civil war. They flew 1,921 sorties, including 368 ground-strafing and 59
dive bombing attacks. " there was an internal bay and outside racks, there was also a 12.7mm and 7.7mm machine gun in each wing for strafing.
American Attack planes had standardized on four .30 cal guns for strafing back with the Curtiss A-8 Shrike before they even decided to go with air cooled engines for less vulnerability to ground fire. Bomb loads increased but the four .30 cal strafing guns remained though the competition that lead to the Martin 167 and the Douglas DB-7 (A-20). Range for the Breda 65 and the Single engine American attack planes was well short of the Battles range. Even the early A-20s couldn't match the Battle's range.
The Japanese Ki-51 was a bit later in timing and while it could be called a single engine day bomber it's intended role was rather different than the Ki-30 and Ki-32 which could also be called single engine day bombers.
The Russian SU-2 was also a bit later in timing although, like the Ki-51, it was planned before the war started. The Su-2 had four 7.62 guns in the wings for ground strafing and the internal bomb bay could hold a quantity of small bombs.
The Ba 65, Single engine American attack planes (Northrop A-17s at the end) Ki-51s and the Su-2 were NOT intended to pick up messages using hooks or land and pick up personnel for liaison duties or even to perform artillery spotting missions.
So what is "army co-operation"?