Came upon this old thread researching something else. Just for reference then, here is a writeup on the McDonald Brummel along with pictures and text. There is a bit of "magic" coloring (Photoshop) that helps to keep clear what is going on. http://L-36.com/brummel2.php
That said, I prefer lock stitching to the Brummel. My limited testing was a sample of line with one of each kind of splice and it broke in the middle away from either splice. However, the stitched eye splice survived the impact of the break where the Brummel was really taken out of shape by the recoil.
Stitching should be a "S" stitch and not too tight. Don't use a speedy stitcher as the stitches need to stretch under load or they will snap.