I agree with your synopsis. Catholicism becomes a cult when their members place their “traditions” and other writings above or equal to Scripture and when they put their worship to anyone other than Jesus. Cults also have Earthly leaders which get more credit for direction then the teachings of Jesus. The Pope and priests fit that role quite well.
The one thing I will say though, is that there are Catholics who are saved, but it is in spite of their doctrine, not because of it.
Where do the various creeds fit into this definition?