What's the difference between cloakroom and coatroom?

Cloakroom

Definition:

(n.) A room, attached to any place of public resort, where cloaks, overcoats, etc., may be deposited for a time.

Example Sentences:

(1) For a while, she worked as a cloakroom attendant over the lunchtime sessions at the Cavern.
(2) Johnson said that if he and Mittal had not bumped into each other in a Davos cloakroom "we would not be where we are today".
(3) "Last week my overcoat was taken from the members' cloakroom, where it was left over a weekend on my peg," writes mournful Tory Richard Benyon.
(4) "The box office used to be a girl sat on a stool at the top of the stairs with a petty cash tin and some cloakroom tickets.
(5) Much more reliable than the traditional diagnosis in the school cloakroom, this website is like the knowledgeable big sister you wish you'd had as a teen.
(6) Guards carry out brisk body searches; bags have to be checked into a makeshift cloakroom.
(7) Even so, the experience is exact to the extent that the stage is largely lit by candles, with the result that, with the addition of 340 people sitting in a small space, ushers at The Duchess of Malfi were warning customers to leave their coats in the cloakroom because it had turned out to be "so hot in there."
(8) We were not ready for the new curriculum, our marking was shoddy and our cloakrooms were shabby but the children loved learning and had loads of fun.
(9) By the time the storm clears, he looks like a cloakroom attendant.