Instead of arguing without any sense, you could have gotten an answer from the dev team, try @jbg on spectreproject.slack.com, who will provide you with an answer in a matter of minutes as the devs are very active and open for answering questions. I know many, many coins are being shilled without any underlying tech and many promises are being made in this cryptomarket, but what you are doing now is discussing matters with a person who cannot provide you with an answer, which does not get you anywhere but confirm your thoughts you already seem to have. It does not make any sense.
I was right, your dev won't (or more likely can't) answer to how it works.
Hey generalizethis, we don't "claim to have anonymous staking". We've worked out a way to do it, and we will be launching it towards the end of Q2 this year. Nobody is asking you to believe it until we release the paper and source code, don't worry

Now stumble around for faith based rationalizing as to why he won't (can't) explain how it works. I'll wait until Q2 to tell you I was right--but my guess is you and your buddy will be hiding behind new usernames.