That's a good point.
I was talking about the ICs not being beefy enough to safely handle a fault current and never gave any thought to the internal component wiring. But in reality the gauge of the internal wiring of our components is very often far less than the ICs we use to connect them. And there's nothing wrong with that in normal operation. They are sized to do a particular job. It is only a problem if you ask those wires to carry a current far in excess of what they were originally intended to do.