The false equivalency is made use broad generalizations. The detail exposing the distinctions regarding the situation is withheld (instead of being acknowledged and reasoned). Once the detail is exposed, then it morphs into "favorable" characterization.
In your Clinton example, I have no idea what the "open sore" is, nor what had been withheld to obtain Blair's agreement to help.
I don't think the events are the same, and I hate Clinton anyway.