There's actually a name for it: "studied ambiguity":
To be sure, the contents of the letter to Ryan werent just a product of Dolans need to appease both sides in the intra-Church struggle. It was also a classic example of a style of ecclesiastical document that the Vatican employs in complicated situations....This style of writing aims at studied ambiguity, a Vatican diplomat explained to me, noting that the people who write such letters are trained to think in terms of centuries, not sound bites. So you always need to be able to say fifty years on, Well, of course we never meant that, the diplomat said.
-- from the thread Mixed Blessing: The Ryan budget and the raging battle within the U.S. Catholic Church
They are all politicians now.