That’s your personal interpretation.

Maybe not, because it seems widespread on CAF, but not found, I think, in the Catechism, which means it is not Catholic teaching.
The confessional Protestant churches (Lutherans, most Prebyterians, Anglicans, for example) thoroughly reject that from the get-go, reserving interpretation at the denominational level (although allowing a great deal of liberty, as Catholics do, in many things).
And this neglects the working towards unity of many Protestants and the merger of many denominations, many times. That’s why there are the
United Methodists, the
United Church of Christ, and there is no more Reformed Presbyterian Church, Evangelical Synod, as they merged with the Presbyterian Church in America.