People with narrow feet are probably fine in Nike.
It's just that (at least last time I bought Nike in the 90's), their standard width is a C, and New Balance has a D-width as standard along with offering a full range of sizing options (like my college buddy that wore quad-E width shoes).
Personally, I switched back to Chuck Taylor's a few years ago, because I like the zero-rise, the simplicity, the durability, and the relatively low price point