The Last of Us doesn't hold a monopoly on mature stories. The game may have inspired them to attempt a mature approach, but doing one isn't being like The Last of Us. If anything, it's "choosing" to be like Logan.
And everything about the game is so vastly different from TLOU that the only way one could say that is trying to be Last of Us rather than having its own identity is if you think The Last of Us was the originator of half of its concepts. Instead of you know, The Road, Lone Wolf and Cub, Leon, 28 Days Later, Children of Men, Enslaved, Road To Perdition, and countless others