New Christians can bear the type of fruit you are mentioning to.
I would say that new Christians and old Christians can bear fruit.
I believe that God never stops working in us.
So for many years we could be lacking or unaware but then God deals with it.
I tend to find that new Christians who come to Jesus who have an emotional experience preach Jesus.
I tend to find these people are the people that Jesus walked with.
The dirty, the broken hearted, the down trodden, the rejected.
Such people tend to have a lot of baggage, hurt, pain that leads to addiction, dysfunctional relationships and so on.
Then they hear about Jesus.
And it's like "Wow Jesus actually loves me, why would he love this dirty rotten sinner?
Then they gotta tell somebody.
But their life may still be the same.
That's where we come in.
Discipleship.
Those who come to Jesus generally do because of what?
I would say LOVE.
But to me we need to counsel that this love is one that wants to heal and set us free from the past so that it does not dictate our future.
As God does that then the fruit increases.
In a sense an apple farmer can't advise a orange farmer.
What use is a person who has never suffered severe sexual abuse to a person who has?
To me not much because they have never been there.
I speak from experience here.
Having suffered and now walking with those who have suffered.
God promises to work good in all things in our life. He never promised to make all the bad things good but promised to work good in them.
The reason being (and many people who quote God works good in all things do not quote the following)
"To conform us to the image of Jesus"
To me that's the Holy Spirit working in us to bear fruit.
Sorry gone off in a tangent.
It just breaks my heart that we are quick to get people into church yet condemn them because of issues that are contrary to being like Jesus.