True for the most part. The wires on most motors are simply extensions of the coil wires and have a varnish coating and only the last ~1/4" is exposed wire suitable for soldering. If you cut that part off, you'll have a heck of a time soldering them. There are ways to do this, but much easier to just desolder the existing connector rather than cutting them off.
The Mamba Max and new Castle Neu motors (and maybe some others) use noodle hookup wire. This wire is connected to the coils inside the motor, so it's OK to cut those if needed.
Other motors, like Novak, have solder tabs on the motor so you can use whatever wire you want. Therefore, it's OK to cut those.
No matter what, if he ruined the motor, he gets to pay for it.