Here is a clarification from Archbishop Broglio in a message sent to Sean Johnson:
Dear Mr. Johnson,
Father Cannon referred your message to me.
First of all, your characterization of my statement about priests of the two societies in communion with the Holy See and chaplaincy is simply incorrect.
My statement was that priests in the military must be able to be all things to all people and consequently must be able and willing to celebrate the Mass according to the Third Edition of the Roman Missal.
Secondly, without violating the confidentiality that a priest can expect from any diocese, I can make the following statements:
I missed the detail that the press released contained the names of the dioceses or religious communities of the participants. Normally that information would not be published. I regret my error.
It is unclear to me why you need the clarifications you requested.
Finally, the priest in question desires full communion with the Catholic Church. I have helped many men and some families on that journey and I do not intend to stop now.
Thank you for your interest.
Sincerely in Christ,
+Timothy Broglio
The Most Reverend Timothy P. Broglio
Archbishop for the Military Services, USA