Today, it's probably safe to say that a "computer" isn't better than a person at flying a plane in all circumstances.
But with the rate at which machine learning is advancing (not necessarily neural networks, but Markov and other probability "networks"), it is also safe to say that in the very near future a "computer" will be far better at handling abnormal situations than a human pilot. (at the extreme a decade, more likely within 3 to 5 years)
We have already seen cases where autonomous vehicles are better at handling many (not yet all) abnormal situations than a human. And the rate at which the technology is advancing would lead anyone who's studied these vehicles to conclude that the "computers" that are driving them will be more capable than humans within just a few years.
These "computers" are capable of absorbing the data from hundreds and thousands of sensors within milliseconds, and then predicting the hundreds and thousands of possible futures based on any number of combinations of actions, and thus determining the best action, all within fractions of a second. Then, after running around for awhile, they begin to "tune" their cost/values for inputs and actions and reach a point where they're no longer using the original logic "proposed" by the developers.
(I'm putting "computers" in quotes, because they're not like what we normally call a computer, they still have a CPU, and memory, etc. but they don't usually have much in the way of user interface equipment).