No, neural nets have topped out long before that saying came into effect. They aren't useless, but don't be fooled by facile analogies to the human brain; neural nets as we actually know how to make them do useful things are rarely the best solution. We don't know how to train complicated ones very well, and the simple ones we know how to train are still very slow to learn vs. many other techniques, yet simultaneously bring very little to the table that aren't done better by numerous other techniques.

Reminds me of genetic algorithms and programming; no, they aren't necessarily useless, but remove the facile analogies to real-world processes and they carry a lot of expense for not a lot of gain. Only rarely are they the right choice.

Goals aren't results.