The brand is not relevant. Each brand will offer a plethora of styles, each of which will offer different characteristics.
Additionally, each offering will be built from a different
last.
This allows all major manufacturers to offer product that will fit virtually all feet.
Buying by brand, IE Puma, New Balance, Asics, Nike, Adi, Reebok is more tribal identification than it is utilitarian.
I source Puma for both casual and performance footwear for example.
The same materials... the same factories even... are often used for the major brands so wear is not a characteristic of a brand but rather of a style.
There are shoes built specifically for speed walking.