Except MSE, which had a performance rate of 99.3% on latest AV Comparatives (Avast! 99.6%)
What does performance have to do with FP

Anyway if you where to look in the lab to any AV vendor you would see that they all work with minor FP fixing evry day, the one i mentioned above is the one that affected system files and bricked the computer, these dont happen often but all AV vendors have had it