If getting recognized by Arasaka is a problem, there's always plastic surgery. They don't know V's true identity.
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But he could have been a bit more paranoid. How can he be sure him and Jackie weren't identified somehow during the heist. And he keeps the same address?
Edit: in quests like The hunt or when we locate Eve we see how detective work can work in this universe, so V knowing how it works better than us should have been more careful
Edit: in quests like The hunt or when we locate Eve we see how detective work can work in this universe, so V knowing how it works better than us should have been more careful