In 2010, I shared this with Richard H. Anderson, and he agreed.
The "motif of ignorance" that runs through Luke-Acts looks to fit the Theophilus concepts very well.
Dunno if you have written on this, it came up now because of the new paper, below.
Then said Jesus,
Father, forgive them; for they know not what they do.
And they parted his raiment, and cast lots.
Acts 3:17 (Peter speaking)
And now, brethren,
I wot that through ignorance ye did it,
as did also your rulers.
Acts 7:59-60 (Stephen speaking)
And they stoned Stephen, calling upon God,
and saying, Lord Jesus, receive my spirit.
And he kneeled down, and cried with a loud voice,
Lord, lay not this sin to their charge.
And when he had said this, he fell asleep.
Acts 13:27 (Paul speaking)
For they that dwell at Jerusalem, and their rulers,
because they knew him not,
nor yet the voices of the prophets which are read every sabbath day,
they have fulfilled them in condemning him.
Acts 17:30 (Paul speaking)
And the times of this ignorance God winked at;
but now commandeth all men every where to repent:
"A Disconcerting Prayer: On the Originality of Luke 23:34a"
JBL 129, no. 3 (2010): 521-536
email@example.com (anyone can request a copy to Nathan, the article is pretty good, albeit understated in points)