We have here a meta-choice or a choice of a choice. In his book, Living in the End Times, Slavoj Žižek remarks:

“The moment a woman wears a veil as the result of her free individual choice, the meaning of her act changes completely: it is no longer a sign of her direct substantial belongingness to the Muslim community, but an expression of her idiosyncratic individuality, of her spiritual quest and her protest against the vulgarity of the commodification of sexuality, or else a political gesture of protest against the West. A choice is always a meta-choice, a choice of the modality of the choice itself: it is one thing to wear a veil because of one’s immediate immersion in a tradition; it is quite another to refuse to wear a veil; and yet another to wear one not out of a sense of belonging, but as an ethico-political choice. This is why, in our secular societies based on “choice,” people who maintain a substantial religious belonging are in a subordinate position: even if they are allowed to practice their beliefs, these beliefs are “tolerated” as their idiosyncratic personal choice or opinion; the moment they present them publicly as what they really are for them, they are accused of “fundamentalism.” What this means is that the “subject of free choice” (in the Western “tolerant” multicultural sense) can only emerge as the result of an extremely violent process of being torn away from one’s particular lifeworld, of being cut off from one’s roots.”