I do disagree whole-heartedly with much the RCC teaches. I think it is anti-Scriptural and anti-grace.
I believe, however, that there are saved Christians among the RCC. And yet the RCC does not give me that same benefit of the doubt since it believes there is no salvation outside the confines of the church in Rome.
So who really has the narrower definition of Christian?
Ex Eccelsia Non Salus is also not as rigidly defined as you have put it.
I also think you must know that to be true.
Perhaps you would like explain what you must know to be true about EENS.