Conservatism consists of exactly one proposition, to wit: There must be in-groups whom the law protects but does not bind, alongside out-groups whom the law binds but does not protect.

In this case, the law being freedom of speech, the protection being to say what they want and the binding being to prohibit others from curtailing that. Naturally, the push for inclusive language is part of a movement to curtail that freedom and needs to be reversed and pushed back against.