The answer is both yes and no. He will reveal his true identity. Not to all, but to some. Not everything to all those, and not at the same time. The general public will not learn that not only is FitzChivalry Farseer alive, but he is closely allied still with the crown.
Though it is not made clear specifically, FitzChivalry is likely to carry the truth about Dutiful's physical parentage to his death. He is after all not sure who one should say is Dutiful's father. It is also too dangerous a truth to let out. The fate of the entire Farseer line would be on the line if it got out. This is also why his being alive cannot be let out. Should it happen, the public would see him drawn, quartered and burned. Only many generations of work would absolve the public fear of the witted to a degree sufficient to handle his survival. People fear that which they do not understand.

I, too, was waiting for that awkward "Luke, I am your father" moment (ala Star Wars). I won't say anything else, because I can't think of anything non-spoilerish to say.