Most 250 amp welders use 12 gauge wiring to supply them.I think we’re missing each other here. He is running 60 amps through a 14ga wire. The math to determine exactly when it burns would be what? If you wanted to make a fuse for a 15 amp circuit, what gauge would you use? 28?
I'm not a big fan of the common analogy of using a water pipe as an example but it does make sense.
Amperage is like water standing in a pipe without movement.
Voltage is like the water pressure that moves it.
https://www.electricalclassroom.com/difference-between-volts-and-amps-vs/