Originally Posted by PaleVoyager
Do the squads that appear immediately after the Tempest fight have a bearing on the Rescue Mission as well?
Not if you leave right away. After the fight, I skipped the cutscene, paused and left the area. Then I made a save, went back to see how many buildings got damaged and after I made sure only one or two were harmed, I loaded the save and went on with the game.
The squads can only harm the buildings during your stay.