My wife and I independently had a same reflection.
Much Italian press has been criticizing it as yielding to Shia politicians’ desires and so unwittingly strengthening their position beyond the interest and desires of Western players.
We both beg to differ on two points:
  1. just how "unwitting" can we expect major global political players, even as they accomodate their local constituencies’ view of justice?
    Our guess: much less than implied by the analysis above.
  2. who is actually strengthened by the execution and its display?
    The most statemanly performance is very apparently the executed’s. This, and the fact that the individual is now removed from the political play actually strengthen Sunni players’ hand.

In the end, Sunni and somehow Shia players somehow win, Kurds somehow lose, cross-community nation-building clearly loses.

If that was intended in local and international players’ purposes, this may be one of the earliest apparent steps in a global strategy that relinquishes reconciliation and cross-community nation building in exchange for a way out of the quagmire for Western players.

Let’s see what new strategy will USA announce next week, and what agreements about Western access to Iraqi oil will be pursued with the the Sunni and Kurd communities, in addition to with the national government and Shia community.