Sit in a shopping centre, movie theater lobby, or even just out on the street. Watch the shoes of the women as they stroll by[1], and you'll find very few of the ridiculously high heels that are pictured in that tweet. Claiming that tweet's shoe as the typical women's shoe is laughably erroneously stereotyped.

[1] Not just the young fashionistas that specifically dress up, but every woman.

I don't think that's true for shoes. The male equivalent to high heels would be dress shoes, and women wearing male dress shoes would be weird and unusual. The examples shown appear to be casual or athletic shoes, which are indeed neutral.