In terms of the penalty "imbalance" going the "wrong" way for offensively dominant team, I do not see it as strange at all. One would expect the defending team to take more defensive penalties. But how about aggressive/offensive zone penalties? Top penalized players on the Oilers are forwards (Kane, Podkolzin, Janmark, Frederic, Hyman).
From yesterday's game, that's pretty much what I saw. Oilers were super aggressive, and it worked very well for them. They were in Hill's face from the puck drop. Sure, the refs got Janmark's penalty backwards, but that's sometimes the price to pay stirring sh*t up around the crease. Janmark wasn't in the crease by some accident. Kane's penalty I thought was correct (yes, there was a shove, but it was not the cause of Kane's jump into Hill, it was a pretext).
I think the penalties reflect Oilers strategy this playoff. I think they want an emotional, chaotic, fast game. It suits the Oilers much better than a structured positional affair.