Inquisitor doesn’t take Cole to very serious and dangerous missions ,but he makes sure to tell him later all about it and hear the boys thoughts about it . in his eyes Cole is an innocent boy who is just really starting to   discover the world and L'houis doesn’t want it to be all dark and creepy(Cole had enough of that already in the past and previous life) .so he and Varric are keeping an eye on him like big bros should