Fallen have four eyes and where he is stationed gets hit every twenty minutes by cabal. Plus the Fallen aren't that sentimental about each other. If you can't fight you die. All of your made up Lore is twaddle.
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The outskirts is never targeted by cabal. You might be thinking of the Winding Cove. I forgot the s in eyes Fallen are sentimental about each other. This is shown in the adventure on Nessus. The vex tell the fallen that they have to fight to the death and the survivor will be set free. The fallen refuse to fight and instead choose to starve. And if a fallen cannot fight then they are put to use on something else. Most likely fallen who cannot fight are working with repairing and making Shanks, Servitors, pikes, spider walkers, skiffs, weapons, armor, etc. Or they drive skiffs and pikes. Those dregs on the pikes may not be good with a gun but they are excellent drivers.
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The fallen either is given out depending on rank. Thier rank is determined by the Kell, battle prowess and abylity to take. If you became lame to the house you would be demoted or even thrown out. Either is also used to heal. That's how Dreggs regrow thier arms. So could easily heal Graxus, blind captains eye. But if either wasn't enough, cybernetics could replace the damaged eye. As for your reasoning for him being blind. Yes you can be blinded by a knife. But a lot of other things could also blind you. From hitting your head to hard to glancing hits from grenades and bullets. He could also be called the blind captain for many other reasons. Like he charges into situations without planning.