Not true for all vehicles. Not sure if Mustang would fall under this. This is an old method that worked on vehicles from the 70's and 80's that was able to work then. A lot of newer, more advanced electronic systems on todays vehicles will require the battery cables to be connected while a vehicle is running. Even if the alternator is good, the vehicle may shut off due to a loss of a completed curcuit or even create a spike. This is not always the best way to check the alternator. Todays alternators are tested at idle and put under a load to check its strength. Alternators from 20 to 30 years ago operated at 70-80 amps, todays standard is about 120-140 amps. Leave it on the vehicle or remove it to have it tested for accuracy.
No dis-respect 05stroker, I know your knowledge on these cars is better than mine. Just giving my experience on this issue.