Does sending applications in early confer advantage in the admissions process?

This varies by school. On my kids’ lists for example, the ones that are not rolling, but do seem to process early EA apps in a rolling manner, are UMN and Oregon State. I am sure there are some others that do this… but the other schools on my kids’ lists, and most EA schools that I read about on CC, seem to batch them up and release all the decisions on or close to the decision date.