Earlier quoted context omitted.
How is being worried about society objectively changing for the worst - like excluding you for your gender or the color of your skin - conservatism? Wanting to be truly equal is progressive.
Because the definition of the word conservatism is "commitment to traditional values and ideas with opposition to change". If you're worried about society changing, there is no definition of the word "progressive" you fulfill unless it's your tax bracket. Words have meaning, even in the mouths of sophists.
To your example about them therefore not being "progressive", I think they are saying, "I wish society would not change in that direction, I wish it to change in this direction instead." Which would be progressive.