Minimalist is a word that gets tossed around a lot here without ever having been clearly defined. For my part, I see it more as a philosophy than a measuring stick. I've always subscribed to the idea that a person should run in the least shoe that they need, whatever that may mean. It's mostly a rejection of the idea of shoe companies that the more cushion, correction, support, etc, there is on a shoe, the better off you'll be if you run in it.
So in my view, someone running in the H Stret is a minimalist, but someone who goes to Bob's Store and gets an "enrty level" shoe that has a bit of heel cushion might also be a minimalist provided they were buying that shoe on the assumption that it's the least shoe they can run in.
Lydiard was basically a minimalist. But the one shoe he really liked in his later years was the Mizuno Supersonic, which had a much higher heel than the MLU does.
If you're looking to classify the MLU, consider it's lightness and small amount of rubber in the sole. Very few shoes match it in those ways. But, what I meant to say in the original post is not to let a philosophy prevent you from doing what works for you.