ADHD, Apnea and Tonsils?

Are some kids with ADHD having sleep problems due to their tonsils being enlarged? Does this issue cause them to not receive the proper sleep they need and thus cause issues with ADHD?

Sounds kind of far fetched perhaps, yet a recent study suggests all this could in fact be related and thus it became a topic of conversation in an online think tank as one member, Swift from Las Vegas stated;