Are “right-wing progressive” or “left-wing conservative” contradictory terms?

[有爭議嘅領土 of The Figgis Agency]

No. The left-right axis applies to economic and social issues, and one can hold differing positions on either

Progressive/conservative = social/cultural orientation, left/right = economic and social power. For example, there is a parochial, traditionalist, and statist “Left” orientation in the PRC political spectrum that is diametrically opposed to a more cosmopolitan, socially liberal, and pro-market “Right” orientation.