Funny scenario but that is possible, and if that happens to me, I'll definitely stop playing, I'll choose to go home being a loser instead of losing everything to the point that I am not able to go home.
I just hope most of the gambler thinks the way you do because mostly tend to go all in specially when they already lost so much thinking that they can still win. They end up empty handed and then just owe their friends money for them to go home.