Yes, you're right. I now blame Obama for that horribly slow line at the DMV I had to endure last week. I stand corrected.
I know there's no conspiracy and I know that the bad call weren't directly Bettman's fault. But part of the commissioner's job is "...protecting the integrity of the game of professional hockey and preserving public confidence in the League." (from the NHL constitution). He's also responsible for selecting the officials and establish policies for interpreting and enforcing the rules.
If you replace Obama with the Secretary of State (or whoever is in charge of the DMV in your state), your analogy would be more correct, and yes, you could (partially) blame him/her for the horribly slow lines.
Basically, what I'm saying is that when someone says, "f*** you Bettman", that doesn't imply that there's a league-wide conspiracy to screw over the Red Wings (that would be stupid), it just means that he needs to do a better job at handling the league and the quality of the officiating.