Sure, and obviously not all units are supplied with it as a basic piece of kit if it's not necessary to their job, those who should have it issued though should not go short.
Times have changed slightly since Normandy, Korea and Vietnam though, armour might not have been issued then but then neither were NVGs and the like. As far as the insurgents are concerned, simply because they don't have armour isn't really a reason not to issue it to the frontline units that are facing them.
I'm not trying to be argumentative here, just trying to point out that your guys aren't that badly off... and you can add boots or whatever you like to the list...