Is it befitting for a student to interrupt the Shaykh while he is speaking to correct some of his mistakes?

The questioner: Well, my Shaykh, if you permit, a small matter. Some of our brothers say to me, "You interrupt and cut off the Shaykh, and this is not pleasing." I say to them, "I felt that the Shaykh, I mean, made a slip in this, and I said this for the benefit of the entire Ummah, or the entire people of the Salaf, so that the people of innovation, when they sometimes hear a word like this, do not take it as a position of the Shaykh?" So I intervened and said this. Am I still in error? Until now, in the view of this brother of mine, I am in error! So I do not know, my Shaykh, may Allah reward you with good, guide me if I am in error? Tell me I am in error, so that I do not return to this matter. This is not a defect; everyone makes mistakes. Or guide our brother who directed these words at me that I am in error in his view! And this is my view, I mean!

The Shaykh: There is no doubt that he is the one in error, and you are the one who hit the mark, though you began in error and ended in error.
The student: Hehehe.

The Shaykh: Glory be to You, O Allah, and praise be to You. I bear witness that there is no deity but You.

The questioner: My Shaykh ... O Shaykh.

The Shaykh: I seek Your forgiveness and I repent to You.
The student : May Allah preserve you.