It's not certain that your coins will be held until you provide more info, neither that they won't be accepted because they're blacklisted, but is it worth it? I mean, you're mixing to get privacy, but you're going straight to those anti-private and ambiguously deceitful companies? That's like pulling the devil by the tail.

I'm in the favoring position to have never used any centralized exchange. I only exchange decentrally whenever I want, whatever I want, with whoever I want. I'm mixing, because I can; because it's primarily a smart decision. Using a centralized exchange and hoping that your coins will be approved means you're somewhat agreed with this "taint" rule, which is against the principles of bitcoin.