I'm one of these kids: I was homeschooled for several grades due to my family traveling, completed my lessons in just a couple of hours per day (sometimes doing two lessons in one day so I could take the next day off). I successfully transitioned to a regular high school (with plenty of homework), did great, and went to one of the top and most difficult universities in the country where I also did quite well. Even though I had hours of homework in high school, I didn't seem to suffer from not having spent 10 hours a day in middle school doing school plus homework. I wasn't "unprepared" or otherwise unable to handle the suddenly significantly higher workload.
Of course, this isn't very scientific and this also doesn't prove that homework isn't necessary in a traditional school, but it does suggest that something is very wrong in traditional early education if hours of daily homework are necessary on top of 8 hours of lessons to achieve similar results.