I'm not sure why you keep referring to a reverse split. You repeatedly refer to the AIG reverse split, but that had nothing to do with a government recap program. In fact, it was something voted on by the shareholders in an effort to avoid a bailout:
In fact, when the government made its recap plan, it offered common shareholders warrants to purchase stock:
"The warrants, which will be given to shareholders other than the government, were meant to be a sweetener that would give private shareholders the chance to profit from a rise in AIG's stock as the government sells its stake"