I expected scores and justifications to show up all the time, not just hover, no matter the view. Did you consider styling edge types differently to replace labels?
Regarding styling edge types: Yes and I think it's a good idea. I think there are some things I haven't tried yet, but I added logic gates https://github.com/amelioro/ameliorate/issues/785 (More Actions Menu > Preferences > Edges > Use semantic arrow shapes) and there's an open ticket for using colors to convey good/bad https://github.com/amelioro/ameliorate/issues/836. Thickness is another thing that potentially could be played with, thicker being higher score? Hadn't gotten to that.