I think this is a very dangerous and misleading statement. It implies that one can go on their merry way and nothing will go wrong.
It might be true that eventually everyone finds their way to God (indeed I believe that is God's plan), but not all paths will be equal - and for any individual there is a choice of paths - some much better than others. Thus I feel it is very dangerous to promote the idea that one need not concern themselves about which path they take, just because they all lead to the same destination. I certainly can take many paths from work to home - a direct one which gets me there quickly and safely; a circuitous one that winds, takes longer and exposes me to more dangers and unpleasant experiences; or - to be really extreme - one that travels around the globe before reaching home, and only after much time, stress and trouble. Thus from this example it is plain that any of these paths would be uniquely my own but one is far better than all the others, and many are far worse than the best.
So please do not accept the mantra that people need not take responsibility for what path they are on, or how they are progressing. All paths are not equal, and in the end there is only one that will get you 'home' safely and in the shortest time, and that path is summarised in the following statement by Jesus:
"“I am the way and the truth and the life. No one comes to the Father except through me." (John 14:6)
and whatever you think of Jesus, few would call Him a liar.