A bishop can deprive any institution in his diocese of the legal (canonical-legal) right to call itself Catholic.
Thus Manhattanville College and a couple other institutions have been "taken off the list" over the years. It happens extremely rarely, though. And there's no provision in civil law to prevent anybody from calling their particular whackadoo project "Catholic." We've got as little legal protection as Quaker Oats.
Interesting you wrote that, Mrs. Don-o.
After I saw this article I called a member of my Church to discuss it and we agreed the finger points (at least to a large degree) to the Bishops.
People don’t like to hear it, but this country was strongest when the Catholic Churches were so crowded every Mass they were bursting at the seams.
Coincidence? I think not.