Both! I bought 2 different MagSafe chargers, and the grounded cord. Tried with and without. No luck. I have to place my entire hand on the Mac and then finger on TouchID and it works. If it's just my index finger on TouchID, it won't work. My whole hand has to touch the Mac and then my finger to TouchID. That way works every time. It's super weird.We have three MacBooks with Touch ID (13, 14, 16) and have seen no problems. Are you using the stub plug or the grounded cord?
I always use my index finger for touch id as I have difficulty rotating my hand to use my thumb due to an old tennis injury.