Paparazzi do not tape record speeches. They snap pictures.
They record video, too, which includes audio. But if my paparazzi example doesn’t work, consider what news reporters do when they do those “undercover stings”.
What you may be talking about is if the audio/video can be presented to a jury in a trial.
Or maybe since a speech is a performance of sorts, can it be recorded by a 3rd party and be presented for sale (such as bootlegging a concert).
But I’m pretty sure that it’s not a crime to simply record a speech, or anything else of the nature, without permission. What you do with that recording may have civil repercussions, but not criminal.
Just my $.02