So, just to confirm, you have never actually tried to run "without the battery at all"? You just had a "ground lug broke off my battery cables" on a car WITH a good battery, still connected to everything else? And as a result of this incident, you are generalizing that ALL cars "would likely" run "without the battery at all"?
So who is the one spouting off?
eta
And for the record, I am not claiming all cars will not run with a failed battery. Of course some can. Many cars can run with a failed battery, they often need a jump to get going for instance. Many will die as soon as RPM drop. But to suggest a stock car is likely to run "without the battery at all" would be very rare. I was unable to do it with my CJ-7 this am, and it has very little current draw, and a high AMP Alternator and computerized regulator. Could not even push start it.