I cannot see the gov living in a place that has those zombies in building.
If he was there and that place broke with flu as we have speculated from the bleeding eye
So, if he did, or does, he could have potentially caught the flu, and bled from his good eye. That's if he didn't die from the symptoms. He's pretty smart and he'd probably have taken the available medicine. After getting over the flu, he could be more invincible.
What if they come upon him and he's just sick? Would they help him? Would they help him and then give him a trial?
By the way, the brown thingy looks like an eye patch to me, shaped the right way, at least, and with what looks like a hole for a tie. .