It makes a lot of sense,

does this help,.....or does this make sense.

By being independent, you avoid the attachments...and therby you avoid the hurt from loosing the attachments

You do become tied to people, you do become attached to people ...but you deny it

the denial works......you feel so independent...but when people leave, as people do, your denial is not strong enough

Ok... If you are still with me, you have 2 choices.
1/ You can strengthen your denial.......Mmmm, where does that take you, well is it working so far? I dont think so.

2/ you can sit with the idea that there is a secret side of you that forms attachments.that you are not aware of....and when you do become aware of it ,even if it scares the bejesus out of you you can work on the idea that people will move away and there is nothing you can do to stop them.

Does that make sense ??