this is a bit strange exegesis by the WTS. Paul's words are more to say that when they will feel secure it will come than that some "proclamation" should be made.
In that way also old commentators saw it.
Barnes:
(2) the impenitent and wicked world will be sunk in carnal security when he comes. They will regard themselves as safe. They will see no danger. They will give no heed to warning. They will be unprepared for his advent.
Calvin:
3For when they shall say. Here we have an explanation of the similitude, the day of the Lord will be like a thief in the night. Why so? because it will come suddenly to unbelievers, when not looked for, so that it will take them by surprise, as though they were asleep.
Clarke:
For when they shall say, Peace and safety - This points out, very particularly, the state of the Jewish people when the Romans came against them; and so fully persuaded were they that God would not deliver the city and temple to their enemies, that they refused every overture that was made to them.
WTS says there should be a proclamation, so now every witness is watching news are looking for a politician to say "now we proclaim peace and security."