To explain, although I’m sure the author himself is familiar with the issue: For any word that is disproportionately associated with one gender in the corpus, the model will learn that gender difference as part of the representation of the word, pretty much baking it into all applications. [1] It's all fun and games when this helps you find the difference between "king" and "queen", but it becomes a problem when the same difference appears between "genius" and "beautiful".
I haven't evaluated these vectors for built-in biases, but I assume they would have similar problems to the pre-computed word2vec and GloVe embeddings. (If they don't -- if quantization is a natural way to counteract bias -- then that's an awesome result! But an unlikely one.)
To the author: I don’t mean this to sound like an accusation that you haven’t done this yet; I know that short papers can’t tell two stories at the same time. But the next step is pretty clear, right? How do these vectors measure on the Word Embedding Association Test for implicit bias? Does Bolukbasi’s de-biasing method, or an analogue of it, work on quantized embeddings?
[1] Bolukbasi et al., "Man is to Computer Programmer as Woman is to Homemaker? Debiasing Word Embeddings." https://arxiv.org/abs/1607.06520