Neither he, nor his mouthpiece, Scott McClellan, have denied the President accused them of being so when asked that question, point-blank.
The president clarified to the reporter what he did say.
Simply stated, when the president was asked if he did "A", the president responded by saying he did "B".
Decrying potential vigilantism is not the same thing as making an accusation of vigilantism.
"A" does not equal "B".
The President is a Christian. As one, he would know words have meaning. And he would also know that Jesus said in Matthew 5:37, "But let your 'Yes' be 'Yes' and your 'No' be 'No.'"
And that is the whole point. Not answering a direct question with the direct answer it deserves tells a story (i.e., is spin) other than the truth.