While "progressive", "conservative", etc. are commonly used as political labels, they are general terms that describe how a person wants to see the world work.

While "progressive", "conservative", etc. are commonly used as political labels, they are general terms that describe how a person wants to see the world work. All people, regardless of their job or function, can have these sorts of terms ascribed to them. And the Catholic Church exists on the world stage, and is involved in politics. Its leadership can be and is political.