You think Flynn is going to sign anything put in front of him? Is that you using your head?
Look, this is really quite simple - unless the FBI agents were asking him about a crime they suspected him of committing, then he could lie to them with impunity. So what crime were they investigating when they questioned him?
We now have the call transcripts and we know the sanctions did come up but only in the context of Flynn asking Kislyak to request that the Kremlin only reciprocate and not escalate. Which is why the agents' (original) notes were so equivocal over whether or not he actually lied when he denied discussing them. Is asking the Russians to be restrained in their response really talking about Obama's sanctions themselves? I don't think any reasonable person would interpret it that way. The only persons who would are those applying an unreasonably expansive view of what "discussing the sanctions" entails. Which is kind of the SOP of the people involved in the "Crossfire Hurricane" hoax.
So there's that. Then there's the critical element of the 1001 statute itself, which clearly requires that, for a lie to an agent to be a crime, 1) the discussion be in reference to a criminal matter involving the individual being questioned and 2) that the "suspect" know that he is lying for the purpose of evading prosecution of the crime the agent(s) are investigating. So even if there were an underlying crime in that conversation, such as your laughable suggestion of a "Logan Act" violation, if Flynn could have reasonably interpreted their question as referring to discussing the actual Obama sanctions, rather than the foreign policy dynamics surrounding them, then he could honestly say that he did not discuss "the sanctions" themselves.
That I have to keep explaining all of this to you over and over and over again is a complete wast of your time, my time and all of our readers' time. So please, just move on. You were wrong about this from the get go. You are still wrong about this. And, unless you change your views to coincide with reality, you will always be wrong about this.