If corporations are suddenly liberated from labor regulations they are not going to reverse their decisions and sell the robots to employ more people or make part-time employees full-time. Cost cutting is a war of multiple fronts.
Labor regulation has the same effect as taxes, the money just doesn't go through the government. Higher taxes and no labor regulation would have similar consequences in corporate profit-seeking decisions, because corporations are the ones paying most taxes anyway.
Besides, there is no clean separation between government and corporations, I think it is improbable that taxes are raised after getting rid of labor regulations.
Labor regulation has the same effect as taxes, the money just doesn't go through the government. Higher taxes and no labor regulation would have similar consequences in corporate profit-seeking decisions, because corporations are the ones paying most taxes anyway.
Besides, there is no clean separation between government and corporations, I think it is improbable that taxes are raised after getting rid of labor regulations.