How far can average infantry joe shoot with iron sights?
That depends on the sights, the training and the field of view/terrain.
It also depends on the expected targets.
Designing your weapons for
average conditions means your troops are in deep excrement when forced to fight in conditions that are NOT average.
The Carcano used poor sights, so did many other rifles. Not just the fixed part but that V notch is hard to use. Front blades varied.
now in poor light or target in shade this is a difficult sight set up to use and leads to poor shooting.
This is better (different model Carcano) but even better would be a square rear notch.
even better is a rear aperture but that is hard to rig up on a Carcano.
Italians went to the 7.35 because of the poor performance of the 6.5 in North Africa and East Africa. Places that had longer fields of view/ranges than much of Europe. Then they crippled it with the fixed sight.
From one web site " The Italians had made the ambitious decision that most engagements were at a range best suited to a 200 meter battle sight (ultimately true in much of WWII) and that an adjustable sight was likely just a distraction.
Ranged engagement should be handled by more appropriate equipment than riflemen."
bold part by me. Good theory, trouble is that the
more appropriate equipment either didn't exist in the Italian Army or was in short supply. We have been over the Breda 30 MG before. It has the same trajectory problems as the Italian carbines as it used a short barrel. It was issued at about 1/2 the rate that many other armies issued LMGs. That is one Breda 30 for every 20-24 men. The infantry company got a boost in fire power with the attachment of a 45mm mortar squad form the Battalion mortar platoon. three 45mm Brixa Mortars with a max range of 520 meters effective range being a bit shorter. This pretty much means that "Ranged engagements" need to be handled by the Company/Battalion Breda 37 tripod mounted MGs and 81 mm mortars. German, American and British Armies had better radios/field phones--artillery support to handle the "ranged engagement" scenario also.
The 200 meter idea works pretty well in urban fighting or in the Italian hills/mountains, not so good in North Africa.
The British used a two position sight on a number of No 4 Lee-Enfields (and then complicated things with a bunch of instructions on how fitting and removing the bayonet would change impact of the two settings).
If your troops can not handle the "distraction" of a two position sight you either need to look at the quality of your recruits or your training program. Many Beretta 38 submachine guns used a position flip sight so the concept is neither new or novel.
There was a study done years ago (one of many such studies) that showed about 98% of all rifle fire was done at 400 meters or less, 50% of rifle fire was done at 200 meters or less which means that 50% of all rifle fire was done OVER 200 meters.
Granted studies vary from army to army depending on last war fought and terrain they were fought in but blowing off the 250/275meter to 400 meter range band and saying you will use other weapons to cover it (and then not providing adequate weapons to do so) seems like a big mistake.