Maybe just maybe there is some blame with Jesse as well? I am no fan of the coaching staff of the Oilers (well the remaining head coach I guess) however they can't learn English for Jesse, they can't compete on the ice for Jesse and they can't make Jesse give 100% every time that he's on the ice.
IMO there's blame to be had on both sides, Jesse needs to put in the work and swallow his pride. When the results come he will get quality ice time. Even as a huge fan of his I saw inconsistency in his game. The bottom line is that he needs to control what he can (offseason training, improving his English and keeping more of an even keeled approach). The rest is out of his control. If he just wants to pout because Aho and Laine are doing great, then he's well on his way to becoming the next Yakupov.