Please understand that "encourage" is not a hard and fast rule, it's simply a matter of having some text suggestions or visual clue that get people to at least attempt to edit questions before closing them or show them that it is possible to edit the question into good shape instead of downright closing on first sight.
The problem I find, is that people are subject to first impressions and, even if the question being asked is a legitimate one, a formatting issues/lost-in-translation/language issues can get people to close/downvote right away. Even if all the question needs to be a good addition to Stack Overflow is a simple grammar correction/formatting issues. Such examples are line-breaks conversions, code formatting, non-native speakers, beginner programmers who do not know proper terms, etc., etc.
I think this is a minor change but would greatly help with questions posted by confused beginners and particularly the Stack Overflow users who are not native English speakers.
So I propose that, there should be some encouragement or incentive to try to edit the question into good shape first before voting for close or downvoting too fast.
It could be as simple as a single sentence added to the red box you get when you downvote. But something a little better would be nice.
close is shown side-by-side but clicking on
edit has implicit requirement that is that extra effort to go in and look at the text. So
close and/or downvote is basically easier to do in most circumstances. There are nothing encouraging people to try to edit questions at all besides the usual do-good feelings. You don't even get reputation points on edits so it's more like a negative thing sometimes too.
I've seen questions which gets 3 to 4 close votes before someone would attempt to edit it. And after a somewhat simple edit, it gets lots of upvotes and answers. This side of Stack Overflow is very disheartening to see.
Most of the time the needed edits are just a few simple line/markups or maybe just giving the question a proper title.