Ones view of that is determined by ones position going in, and how well one understands the law of citizenship at birth.
I think your take is the natural one, for you. In addition to "what" they said, Trump seemed defensive, Cruz was confident.
Most people will come away thinking the qualification issue is for kooks.
The eligibility issue would not be dead if the Constitution still meant anything, but it doesn’t and hasn’t in many years. If the Constitution was followed you would have to be born in the United States to be eligible told hold the office of president. That would exclude Cruz and many others who have ran in the past. If laws were followed you couldn’t run for president without having a background investigation and every aspect of your life would be investigate. You would have to release your birth certificate, your health records, and all your education records. But since we live in a lawless society now none of that counts. Obama is living proof.