I'm not a lawyer, but here are a few reasons why they didn't:
- The defense had several pre-trial motions to suppress or limit the Daniels testimony, and the judge denied them all. Why continue to object during her testimony, only for the judge to continue to deny them again and give the testimony the imprimatur of legitimacy?
- If the defense continuously objects to the Daniels testimony, it gives the jury the impression that President Trump has something to hide. That's why those motions are made pre-trial.
- It's the judge's courtroom and he's the one responsible for maintaining order. If he thought that Bragg was straying outside of the boundaries that Merchan set based on defense pre-trial motions, it was up to him to stop Bragg in real time, not the defense. Making the defense do it only prejudices the jury against President Trump.
-PJ