I am confused.You said these are sites point out danger of CP.
I checked one of them,
catholic.com/thisrock/1998/9802ltrs.asp, below is what it said, I didn’t finish the whole article.
After reading Fr. John Dreher’s critique of centering prayer “The Danger of Centering Prayer,” November 1997], I had to dig up my retreat notes and books to see if he could possibly have been discussing the same contemplative prayer preparation method I have experienced. After scouring the books of Fr. Thomas Keating, I was unable to locate any of the “bogeyman” dangers identified by Fr. Dreher. Nothing is easier than to build a straw man and then knock it down.
I was relieved to discover that Fr. Dreher was obviously referring to some imaginary construct of his own making rather than the prayer method taught by Fr. Keating.
I have spent up to two weeks, eight hours a day, in the presence of the Blessed Sacrament, engaged in contemplative prayer, utilizing, in part, the centering prayer method. The retreat master was an expert in spiritual warfare, psychology, and contemplative prayer. The centering prayer method assisted me in silencing what St. Teresa of Avila refers to as the “jabbering jester” inside the mind. Thomas Merton uses the term “birds of appetite” to refer to the tendency of the mind to cling to meaningless ideas and impressions rather than remaining open to the possibilities of God. In any case, anyone serious about prayer should have a spiritual director to address the anecdotal problems described by Fr. Dreher, which can occur with any kind of prayer.
Contrary to Fr. Dreher’s erroneous claim, centering prayer is not designed to “bring the practitioner into the center of his own being.” Fr. Keating clearly states that the centering prayer method is not an end, but only “a way to reduce the ordinary obstacles to contemplative prayer, by clearing the mind.” The “mantra” of centering prayer must be a sacred or holy word which allows one to move back to God when thoughts drift off to extraneous matters. **In fact, centering prayer is a very disciplined way of preparing for contemplation and far from the mindlessness described by Fr. Dreher. **
This is from Catholic.com/thisrock. The very site we are on.
Please understand I am not for CP, nor against it. My knowledge about any topics we are discussing here is limited. I am trying to learn. I am not trying to argue with you, not at all.