At Luke 9:23 we read :
"And He said to all, “If any man would come after me, let him deny himself and take up his cross daily and follow me."
We also read at Galatians 16:14
"But far be it from me to glory except in the cross of our Lord Jesus Christ, by which the world has been crucified to me, and I to the world."
The concept surrounding the Cross, as we have today, was evidently developed post-Resurrection. But the audience of Jesus, for whom Cross symbolized capital punishment awarded to criminals ( like what gallows symbolizes for today's generation), might have understood the term Cross in an entirely different perspective. One would therefore surmise that either :(i) the usage of the word 'cross' was very much prevalent in everyday language of the people of Jesus' time , or, in the alternative : (ii) Jesus might in fact, have used some other term(s) which the Evangelists later summarized in 'the Cross' which had by then become a commonly accepted term.
My question is: has the Catholic Church ever studied the prospects of option (ii) above ?