Your first post showed pretty significant damage to the radiator cross member and engine compartment. To me, that suggests a greater possibility for crumple zone and frame damage. The airbags deployed, suggesting a moderate to hard impact.
In this one, the damage appears more cosmetic in nature. I am left wondering if there was some damage to the front steering/suspension, just because the damage that is apparent doesn't seem very bad. It looks like the bumper was torn off and the lights smashed. It looks like the radiator cross-member and engine compartment were unaffected. It would be interesting to know if the radiator was punctured. The air bags didn't go off, apparently, suggesting the impact was relatively minor.
All that said, you are working with limited information. It is hard to know how serious the damage was before it was repaired.