#1 and #2 do not appear to be all that different because they both can make room for a person to justify sin with the thinking they are saved. But believers have to confess and forsake their sin in order to receive mercy (Proverbs 28:13). A person acknowleding they are a sinner can be taken not as a one time event when we first come to Christ, but it can be wrongfully taken to mean that we must always commit mortal sin as a way of life. If this is what you meant, I do not believe that such a view is biblical or moral. To say we are currently a sinner now in a our walk with God does not compute. There is no point of even thinking about God if one thinks they will remain as a sinner. God and sin do not mix.
Anyways, getting back on topic: Do you honestly believe a person will be saved if they deny that Jesus is God. Ignorance of such a truth is one thing (and I believe they would be saved in ignorance), but a denial of this truth is another thing altogether. I do not see how a person can be saved and yet deny how Jesus is God. Worshiping a Jesus who is not God is worshiping another Jesus. Can a person be saved by believing in another Jesus who is not of the Bible? I would say.... “no.” Then again, I shouldn't be surprised people think otherwise. People want to just do their own thing and think their own way these days. They do not want to submit to what God's Word says. They like to just pick and choose what parts they like.