That would be the narcissistic style of codependency, indeed! I know that it might sound nonsence to call people with NPD codependent given how they constantly brag about how independent they are. That's part of the delusional narrative deperately trying to hide the fragile ego and clinginess.

They can't be alone for a simple reason: their emotional world is shallow; they are almost unable of self-introspection and need people round not becaus they love them but to extract their narcissistic supply (praise or hard feelings) on which they feed to survive.

I listened yesterday to this delightful video about codependency, hy^per independence and healthy independency, should you be interested:

https://www.youtube.com/watch?v=NH-SFlyTUik&list=WL&index=5&t=596s