Readers of the books know that is definitely not the case.

For instance Areo Hotah is a repeated point of view character who is merely there to provide prospective on the court of Dorne as a silent body guard. Fans of the series call him "the camera who rides."

On the other hand GRRM has said characters like Littlefinger and Varys will never have chapters because their plans are too revealing of the end of the book. They are too central to be PoV characters.