Conservative Catholics will claim their official, written doctrine opposes this. However that claim is meaningless. Jesus said we’d know a tree by its fruit.
But it is wrong for it to be supported by a big clerical bureaucracy. Its interlocking features with the hierarchical structure is abusive and illgitimate.
Not ony the CCHD, but the USCCB itself and its predecessor organizatons all the way back to the National Catholic War Council (WWI era) are a problem. And that problem boils down to this: coordination with with the American "progressive" political class.
It's as bad as the altar-and-throne alliance of pre-WWI Europe. IMHO.