Way too much scrupulosity on here. And also a misunderstanding of what it means to "tell the truth". In real life, you are NOT obligated to tell everyone the truth, the whole truth, and whenever they ask. You're only obligated to tell the truth to your superiors. You can tell partial truths, or just ignore anyone else. Especially in games.
If you go to a coffee shop and place an order and they ask you "what's the name on the order?" You're not obligated to tell them your real name. And they don't really care what your real name is. They just want a name to call out. Making up a name isn't a lie, as they have no moral right to ask you this info. Get it?
You're not even obligated to tell the POLICE the truth (in many situations, because our current police-state laws allow them to lie to citizens and the legal system is setup to only work in courts and the police aren't on your side or the side of justice). You shouldn't lie to the police, as that's illegal and will get you in trouble but you can legally not-answer, dodge the question and play word games.