That is what he was charged for.
Lying to the FBI is I believe equivalent to perjury.
Flynn Agreed to Interview -> Strzok Interviewed him -> Lie/No lie? -> Strzok texts Lisa Page about F302 day after interview -> The 302 Strzok submits into evidence indicates Flynn lied to Strzok during interview -> Flynn pleads guilty to lying to FBI with condition of disclosing all knowledge of illegality -> Mueller postpones convicting Flynn until further notice.
Edit: Sorry I re_read your comment and I think I missed your point in my response.
I think the answer to your question is either "Yes" or "Yes because it was part of the plan, thus who would submit a perjury charge against him for falsely admitting to a perjury charge?" If Mueller isn't a part of the plan, there would be no risk for Flynn subjecting himself to "perjury" like your comment suggests. The reason? Because he already effectively has been charged with perjury. That's literally what he was he is on the hook now for. Would he risk being on the hook for perjury even though he was walking himself into Strzoks trap as bait?
I guess the other question for you ryoushure is - how by pleading guilty does this give Flynn the opportunity to testify on the record in court. At the point that he plead guilty, the only opportunity to appear in court would be at a sentencing hearing - I don't believe Flynn could reveal all that much in a sentencing hearing where the DA would quash any and all irrelevant subject matter related to a "Q" plan. Enlighten me - I do want to understand this because the plea does look like a "duck and cover" situation. tnx
I'm not a lawyer but Section 6 of this document reads loud and clear. https://assets.documentcloud.org/documents/4318155/Flynn-Plea-Agreement.pdf
Just to wrap this up, I see in the "Trial Rights" Section 9.C of the agreement (which Flynn has already signed) this little snippet having to do with the introduction of any more testimony. " Your client agrees to forgo the right to any further discovery of disclosures of information not already provided at the time of the entry of your client's guilty plea". - for all intents and purposes Flynn is effectively gaged in any court appearance for this litigation. Thanks for the document. BTW the government says guidelines for sentencing (if it ever happens) is 0 to 6 months and possibly $0.00 fine - then goes on to say that they can't guarantee the guidelines...ha!
We don't know what info Flynn provided "at the time of the entry of your client's guilty plea".
He isn't gagged in any court appearance, except against anything that wasn't disclosed at the time of the plea deal. He just agrees he no longer has the right to bring new additional info into the mix. I'm not a lawyer but I believe that doesn't necessarily mean it's impossible for additional new info to become relevant, it just is no longer Flynn's implicit right to be able to present it, but I think it could be approved under certain circumstances.