Yes because their heart is still fully based on trust in our Lord Jesus Christ.
The error is though that then those who hear that they do not apply, go and turn it to mean that they can go and do what ever they want and still be saved.
Scriptures make it clear that you can not go and live a bad life producing nothing but bad works. ( You can not serve our Lord and satan ) The Holy Spirit will be there to guide them, but they can refuse that guidance.
This has been the false teaching of the church for years, and some OSAS based churches even teach this error. Once you have been saved you can still live the worse life imaginable and still be saved. That is not biblical.
Salvation comes from the grace of God when the sinner comes before the Lord with a contrite heart seeking forgiveness and repentance. Those that have been saved by the shed blood of the Lord have repented of their sinful past life and from that point on their spiritual lives will improve, a little here, and a little there. Those that are saved must bear the fruit of God's Spirit that now lives in their hearts. They will not want to live an evil life nor shall they.
At the times we may stumble, we tell the Lord we are sorry and He is quick to forgive and blot our transgressions from His thoughts. Why live in constant fear? Let us rejoice and be glad because the Lord is our hope and salvation. Let's start to partake of the meat and get weaned off the milk so that we may strong enough to survive and even thrive until the day the Lord takes us home.