Yes, this construction demonstrates how to copy a segment correctly by hand because the compass was kept at the same width as segment AB, to create the arc from point C.
In Mathematics and Euclidean Geometry, a line segment is the part of a line in a geometric figure that is bounded by two distinct end points. This ultimately implies that, a line segment typically has a fixed length.
In order to correctly copy a segment by hand, you should use a compass to measure the width of the original segment (AB), and this width should be maintained when creating an arc from a new point on the other line segment.
Based on the construction shown above, we can reasonably infer and logically deduce that this construction demonstrates how to correctly copy a line segment by hand because the compass was kept at the same width as segment AB, in order to create the arc from point C, at point D.