Personally, I think the accusation is a gross over-simplification, one which leaves "them" alone holding the bag.
Which makes the accusation inaccurate thus false. Another case of mistaken identity, for it includes the innocent among the guilty in the RCC (the wheat/tares thing) on the one hand, while excusing the guilty hiding among other innocents in Christian and other arrangements or groupings (the same or much similar wheat/tares thing) on the other hand.
Seems there's lots of that sort of "mistaken identity" thing going around...
Catholics? I ain’t got a beef with them.
I abhor Moslems but am willing to discuss LDS but not their copycat JW.