The government isn’t that simplistic that they’d accept that as a legal defense if they were going to enforce the law. Possibly if the executive could prove that they were defrauded by another exec or vendor with liability and they resigned as soon as they had information to that effect which coincidentally was on pay day, they could pull it off. Even then though as a corporate officer they have liability over how the company operates when they choose the people to do the job. As the other poster pointed out the liability for payroll pierces the corporate veil and that means they can’t just bail out and use the corporation as a legal shield.