Nan's Pheromone covers that premise somewhat briefly. Although, hers deals with the 100% taking effect, not the 2%, but the result is somewhat the same.

I think, therefore, I get bananas.

When in doubt, think about time travel conundrums. You'll confuse yourself so you can forget what you were in doubt about.

What's the difference between ignorance, apathy, and ambivalence?
I don't know and I don't care one way or the other.