Yes, that’s been mentioned several times here over the years. I reckon they do a good side business from it.
Yes, I went to the US embassy 2 times and left my belongings on that Bakery. They even have papers with numbers to identify your belonging that you can take with you as a receipt. I didn't remember how much it was, but it's not expensive. (I was definitely not the only one that's using their service before going in to the embassy)