Desiring another person to be with you isn't Dependent. It's normal for us to desire human companionship or even animal companionship - Why else would people want to deal with the animals poop just to have them around.
Independance in my opinion is being able to be content for a period of time by myself. Being about to take care of myself and being responsible for myself and my things. I can entertain myself, find things to do on my own, go out by myself even, and handle my own responsibilities without help. I enjoy having someone with me and help me though. That is normal.
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"Always learn the rules so that you can break them properly." Dalai Lama
My Karma just ran over your Dogma.