I've heard many soon to be cadets and mids say this is something they've always wanted and they've worked for and now they want to start the journey alone. My only question is: do u honestly believe that you accomplished this on your own? Do u really think it was just your hard work that got u here? If u do, then u are wrong. Your parents invested a lot more than u realize. I promise, u wouldnt be a fraction of who u are if it wasnt for your parents. And probably wouldn't be heading to the academy. Chances r, you'd be a "C" student looking for a job at some $8 an hour place. Believe what u want, but its your parents, good or bad, that influenced u to be who u r today.
As others have said, when u leave, u get to start a new life. Your parents have to continue their existing life without u. Not to sound morbid, but its like u r dying. Your parent need that closure. Plus, they need to share in the accomplishment. They need this. I say they, because there are some parents that don't. There r some cadets and mids who's parents don't support their kid at all. Who have actually told their kid that if they join the military, to never come back. You r lucky. Your parents love, cate, and support you. I've seen cadets at the academy come thanksgiving, christmas, and even summer break who are being invited by a classmate to spend time with their family; and some who just stay at the academy by themselves. All because their parents don't care at all. But this doesn't sound like your family or your relationship. Your parents care, and therefor I am 100% confident when I say that you wouldn't probably be standing where you are today if it wasn't also for their hard work in getting you where you are.
Take it from someone who felt the same way. When I joined the military, I didn't even let my parents take me to the airport. 33 years later I still regret it. I saw the hurt in my mom's face. I've apologized numerous times over the years. For the first couple years, there was a big distance between me and my parents. Trust me, if they want to take you, and can afford it, let them. They need this more than u need your independence. You'll be on your own, without them to protect you, soon enough. Think about them and stop thinking just about yourself.