I actually heard the audio of the presser. It was very clear that Rex absolutely wants Sparano gone. The only part of the article he denied was wanting out himself, under any circumstances. Never denied that he wanted Sparano out.
More, they asked him whether he had spoken to Woody about the article, and he said "first thing, right when I read it . . ."
Then they asked if he had spoken to Sparano. He said no, danced around a bit trying to explain it, and then landed on "well, I thought the brunt of the article was I wanted out."
Then they asked if he thought Sparano should be back. He danced again, until he eventually landed on "organizational policy is not to talk about that".