It can take Posh a week or two to respond sometimes, or even longer. They don't have the staff to keep up with the claims, and the majority of their responses are automated :/
I will say that I had a Posh success today. I came across a seller who was selling tons (about 75 listings) of fake scarves and passing them off as real. The sad part was that people believed her, and she had sold over 60 of them! She claimed they were directly from the manufacturer and worked in fashion LOL. They were all terrible fakes and came in plastic bags. In her early listings, she would admit that she "cannot claim authenticity", but then she started saying they were real. Anyways, I had been reporting her for a few days (and having friends do it), and nothing was happening, per usual. I finally emailed Posh saying they need to take her closet down, and THEY DID!! Happy dance.
Still think it's sad for everyone who bought the fake scarves :/ but at least (for now) her account is gone.