Precisely. The Iraqis refused to legal immunity to US forces in Iraq as a part of the SOFA. This would have made them liable to Iraqi law and justice system for injuring Iraqis and damaging property.
Before we left there were already incidents of Sunni police units stopping US convoys, disarming the Personal Security Detail and beating them nearly to death. This was a well known and not infrequent occurrence.
Without a SOFA providing immunity for protecting themselves it would be absurd for US forces to have remained in Iraq. Even if they never left their bases during any crisis they’d be cutoff on their bases, requiring air resupply and legally liable for damages claims against them.
True, but The Obama Team really sucks at negotiating the price of lunch much less a SOFA.