Well no, see, the main story segment at the very top of the screen that is highlighted is inbetween 1586 and 1587, and that corresponds with the Kilik vs. Grøh banner that is across the bottom. Grey dots are unplayed story parts, and the lines could go all the way to the end, for all we know right now. So Kilik and Grøh will be fighting in the future, their non-overlap is before they come to blows. Maxi and Mitsurugi fighting may be later in the story, further along their paths than we see right now. All of what we see is subject to change, of course, but we definitely don't have the full picture, yet.