Well if you are not hiding from the government and just want privacy, then we could just use a centralized mixer.
Maybe, Panama Papers seem relevant here, if you are relying on a third party to not disclose information then you may not be safe from future leaks of whatever source. Some of the Panama Papers cases involve divorce settlements, business partners, etc., for example, and nobody really believes that divorce lawyers have the NSA working for them. They too have the info now too, regardless. Same could be said for nosy neighbors.
If you aren't very good at security, maybe you can't even trust yourself not to accidentally disclose in the future, but at least with Monero you can personally retire the wallet, securely delete the keys and not have to worry about that.