[Luke]

Most of that makes sense, except

"perhaps they know what the Gospel means but were unwilling to repent of their sins"

I don't understand how one can repent of their sins if they aren't saved. One can be sorry, they could turn over a new leaf, but without being born again, one cannot actually repent and forsake sins.

I think a better way of wording that would be "They know what the Gospel means but want to continue living in sin, and not be changed by it's power".

Otherwise, I suppose that every Christian should be merely a professor, as not a single Christian on earth has repented of all their sins and stopped committing them.