But was it materially false? im not sure his fake occupation was at all relevant, and since the document identified Woz, I suspect it was materially true.
Stating obvious, ultimately all individuals are responsible for their respective interpretations of the law and even judges error in their interpretations. That said, in my opinion, if an individual intentionally provides false statements or produces false documents to a federal investigator, that doing so is always a crime regardless of if it’s done to evade an investigation, material to a given investigation, etc — in part because knowing if a particular individual is being intentionally truthful is always material to an investigation.