It does, but that page was likely written by non-vegans, who in general have a hard time seeing past the dietary aspect of veganism, since it's the biggest obstacle to becoming a vegan for most people.

As I point out in another comment[1], the origins of veganism are very much rooted in animal rights. I grew up vegetarian, but I would never refer to myself as a "dietary Hindu." There's a lot more to it than just the diet!

Typically, a vegan would refer to someone following a vegan diet as a "plant-based dieter" in order to distinguish between the groups.

FWIW, I became a vegetarian at age seven (22 years ago) and became vegan a little over three years ago, and never in my life have I heard or seen the terms "dietary vegan" or "moral vegetarian" which are both mentioned in the Wikipedia article.

[1] https://news.ycombinator.com/item?id=23992110