The conclusion we can draw is pretty much what the author says: it's better to present yourself as an anonymous avatar than a real person.
Despite what marketing people tell you about "creating a connection" or "showing that your company is made of real people", often a bit of distance and professionalism is best for your relationship with customers.
It's not just black and white. You will get less rude messages, but you will also get less normal messages. It means you will have smaller conversion ratio and earn less money.
So to answer your question, I would not want to avoid sexist message if it means less money for my business. It's extremely simple to ignore bad people on the Internet. It's hard to earn money.
Despite what marketing people tell you about "creating a connection" or "showing that your company is made of real people", often a bit of distance and professionalism is best for your relationship with customers.