They are pretty much a one sided distribution power law. Deadlines almost never come in early and, when they do, it's rarely by much. On the other hand, deadlines can come in late by wild amounts.
Generating confidence intervals on that is really hard.
A date estimation with no error bars cannot be proven wrong. But! If you say "there's a 50 % chance it's done before this date" then you can look back at your 20 most recent such estimations and around 10 of them better have been on time. Otherwise your estimations are not calibrated. But at least then you know, right? Which you wouldn't without the error bars.
I regularly see two kinds of deadlines. "Planning deadlines" describe an estimate when something will be done. "Signalling deadlines" signal priorities and motivation to employees or clients. Sometimes both exist in parallel for the same task and there is a subset of people who know both.