The Clone Wars are an after thought. They expand on and create things whole cloth that were never in the films. I'm not arguing against it, but some people dismiss the show altogether, a lot of goofy things happen in it. Again, no one is saying that Anakin wasn't exempt, we're just speculating as to how. The "chip", which is biological, seems to inhibit the drive to kill Jedi, and I'm just saying I'm not sure how you would be able to single out one individual either way.
It's sort of like saying you have a man that has a strong genetic impulse to kill frogs, then you clone him and rebuild the impulse for killing frogs into a drive to kill only blue frogs when a certain word is said. But the Anakin thing is like saying, they now have the drive to kill blue frogs except for a blue frog named Bob.
Haha, like I said, it's not really important, just Star Wars nonsense that's fun to waste time thinking about.