Joe is correct that the statement isn’t biblical. However, there is a sense that when our relationship with God is good, people can be attracted to the peace one has through the difficulties of life.
The problem however is that the Gospel that we live and proclaim as Christians is an offense to those who are perishing.
I have had the pleasure over the years to know Christians that have been under tremendous suffering either through physical ailments, or deaths or ailments of love ones. However, they still radiate a peace that passes all understanding despite their suffering.
Even many non-Christians have taken notice of this and long to have this peace, but with out the Lord's drawing can not and will not embrace the secret behind these Christians peace. In fact many become irritated by the very presence of the Christian who has their mind stayed on God.
Is. 26:3 "Though wilt keep him in perfect peace, whose mind is stayed on thee: because he trusteth in thee."

I want to also relate something that happened to me about a year after I became a Christian, which perhaps might have some bearing to this discussion about what these people (giving them the benefit of the doubt) could be referring to.

When I wasn’t a Christian I was down right ornery to my sister’s boy friend. I just didn’t like him and treated him with contempt. However, after I became a Christian although I still didn’t like some of the things about him, because of my relationship with the Lord, I no longer treated him the same way.
This was eventually noticed by him and during a conversation with him, he said to me.
“Tom, before you became a Christian, I could not stand you, you were a jerk. Now you are a nice guy.”
Eventually he became attracted to the Lord and for a time seemed to have actually become a Christian, but that was short lived and like many other things in his life he walked away from anything to do with Church and the Lord.

Tom