Anecdotally (no, I admittedly do not have a map of shot locations, which I agree would be interesting) it has looked like he has not found the optimal situations positionally. Not for anything remotely like lack of effort. Jets have been so good this season because they can spread the puck around to various offensive threats, which suits Laine just fine, i.e. opposing team can't cover everyone at one specific time.
So far, to me, Laine is either not getting to those prime spots, or the puck is not getting to him for those opportunities, or combination of.