That someone will win the lottery is also incredibly likely. That a given person will win the lottery is, on the other hand, vanishingly unlikely. That a given config change will go wrong in a given way is ... eh, you see where I'm going with this
Right, which is why you just roll in protection for all manner of config changes by taking pains to ensure there are always whitelists, local users, etc. with secure(ly stored) credentials available for use if something goes wrong; rather than assuming your config changes will be perfect.
I'm not sure it's possible to speculate in a way which is generic over all possible infrastructures. You'll also hit the inevitable tradeoff of security (which tends towards minimal privilege, aka single points of failure) vs reliability (which favours 'escape hatches' such as you mentioned, which tend to be very dangerous from a security standpoint).