They really tear apart Sayers' essay, don't they? I think the biggest difference is seeing the Trivium as stages (Sayers) vs. disciplines (L&E). L&E "it doesn't make sense to say the grammar of math" I find amusing if a bit over the top. I'm inclined to say we can see them as "both." Dr. Perrin has a nice little booklet on Classical Education (
http://www.classicalacademicpress.com/ice.html) that works both views together showing that all three disciplines are studied at all stages, but where they intersect there is a greater emphasis. IOW, Grammar the discipline is emphasized during the "Grammar Stage" while Dialectic and Rhetoric are both also studied and Grammar the discipline *continues to be studied* through the Dialectic and Rhetoric stages.
W&E opened my thinking on how the Trivium and Quadrivium work together rather than in sequence. Its discussion of scope and sequence has profoundly influenced the design of our homeschool (even though it is a book on how to set up an out of the home school). It is the first place that I found a discussion of Classical Education having an outcome of Wisdom and Eloquence (although I am interested in your Wisdom & Virtue discussed in various places on this board).