I don’t think you understand what this article says. It is stating that your family finances will be a factor considered when deciding whether to admit you. Needing a lot of aid will make it more difficult to be accepted. But Dartmouth still “meets need” (by their definition) for all the students they decide to accept. So your odds are lower of getting in, but the aid package would be the same as before if they do accept you.
The one reason you can turn down an ED acceptance is if the aid package is not sufficient for you to attend. Keep working on other applications, and don’t withdraw them even if you get in ED until you see your aid package and know it is ok.