I’m no master of the English language, but I think you are inventing a new meaning for the word integrity. Most dictionaries would say that having integrity means having strong moral principles. Unless we are also redefining moral principle to mean both good and evil principles, I think it’s a stretch to describe someone pure evil as having integrity.
You are doing all that word kung-fu just because people are using the word integrity to praise someone who doesn’t seem to be sharing your political position? I know certain sector of the media loves all that “alternative truth” style of reinterpreting things. As a close observer of the Chinese culture, you must have noticed that’s a very 阿Q thing to do. It’s alarming that mentality is permeating throughout the US.
I don’t recall you inventing a new meaning for that word when it was used for things in the past like “voter integrity”, or when it was used to describe James Comey, back when the Republicans still loved him, as he was and still is a Republican.
Mueller, himself a Republican was appointed FBI director by Bush, and was given a 2 year extension by Obama. Comey was named his successor by Obama as well regardless of his party affiliation.
I find it strange for Republicans to be attacking their integrity and credibility now, since the party put them as the FBI director by appointing and confirming them.