Reactionaries have no underlying principles, they just react, violently in some cases. If you guide them through their own cobbled-together set of values and show the contradictions, they get angry and start yelling, because to them, they are their own moral arbiter and a challenge to their status quo is an enemy.

Gender is a Social construct and getting upset at people for being outside the bimodal spectrum conservative society expects them to be is utterly pointless, stupid, and harmful.