I have personally seen Coral RX kill red bugs. I use Coral RX. Keep it in the refrigerator it will last ten times longer.
A lot of people are using Bayer Advanced Complete insect killer to dip their corals - not me, yet.
If you get red bugs in your DT you'll have to treat it with Interceptor. I pray that never happens to me because I have a live rock tank with a hundred different species of worms. Thank God, I've never introduced a pest into my tanks. Just pure luck, I guess. (I'm knocking wood ten times right now.) Had to search a little for real wood.
If I did dip a coral and saw pests. I would put it in a quarantine and dip it again a week later. Or whenever, watching it closely. There is no known dip that will kill eggs at this time. There's one that claims it does, but I haven't read enough testimonies to believe it yet.
So, to sum it up. I highly recommend quarantine for everything. I introduced aiptasia into a tank, that I treated like an operating room, from a turbo snail!