As the author of the above answer to this question I'm now a little confused myself. In the version of the question that I saw originally, Allecto was mentioned, which is why she is referred to in my answer, but the question above is different and may refer to the dreamlike trance that comes over Turnus during his single combat with Aeneas at the end of Book 12. But the same point applies anyway: there is not much to say by way of comparison and no real grounds for considering them together.
Having said that, if the questioner wants to clarify the matter, I am happy to consider it again.
There seems to be a little confusion here. Hector appears briefly in Book 2 to the sleeping Aeneas as the Greeks are entering and starting to burn and ransack Troy, which has been captured through the trick of the Wooden Horse. Hector tells Aeneas that he must leave the doomed city, taking with him its most sacred religious artefacts to a new homeland which he will establish somewhere to the west. Allecto is a Fury, a supernatural being whom Juno sends to stir up trouble between the Trojans and the Latins. This is in a section of about 250 lines in the middle of Book 7. The Trojans have initially been made welcome in their new homeland in Italy by the Latins but Allecto (who is female by the way) stirs up trouble in several ways to the point where the Latins and Trojans confront each other in battle.
There isn't a lot more to say about them. Both Hector and Allecto are fairly conventional in these roles, Hector dishevelled and pitiful in grief, Allecto shrieking and raging, throwing snakes at people and generally stirring up emotion to an uncontrollable pitch, which is what fury or 'furor' is. I don't see much in the way of comparison between them, one being a dream and the other 'real' or at least happening in the waking world. I would doubt that many readers would link them in any way at all other than that they both appear in a paranormal manner to try to influence human behaviour and the affairs of the real world.