eigenbiguous
The quality of a statement or word usage that is non-committal and ambiguous across multiple interpretations, so as to utterly befog any listener into hearing no repeatable message at all. e.g. As compared to only two vague possibilities in the "ambi-guous" case.
It's a masterly political brush off where there was no way to interpret what he said, but somehow he took up the entire interview with completely non-committal, eigenbiguous statements.