People have an inherent sense of who they are, What all of us have to learn are the semantic resources to describe who they are to others. We are socialized into a set of social norms and words (labels) that describe those norms. We are taught gender as part of our socialization into social norms.
Individual people do not define social norms and labels. Society does that and imposes them onto individuals. Genders are social constructions imposed on individual people. If you want to describe them as boxes, that is fair. Genders are boxes and society places people in those boxes. Some people jump from one box to another. The boxes, the gender social constructions, are defined within a culture and there is an attempt at sameness. I invite you to read my article more closely to see that I do not equate having a box, a label and norm, imposed on you with choosing to jump into another box. What I do say is that one is still within a box.
Queer is another label, an attempt to define a new social norm and, to use your term, box. The use of “queer” is as a binary opposition to “normal” or “cis” or whatever label you slap onto this concept of what one thinks is not “queer.” And yes, that same logic applies to any use of the label queer, gender or other.
Yes, what gender labels mean is fluid, but that doesn’t take away their function of imposing norms onto individuals.
Ask yourself why someone would think being a woman (or any other label) is important.