In short: Apple wrote it very loosely, so many Mac developers are getting caught out by it for using screen capture for legitimate features like a color sampler, which has to read off the screen. As the longer linked post above explains, this macOS “screen recording” warning can be triggered even if an application is not recording video and not saving it to storage, but merely sampling a small region once and then discarding it.
If a Premiere Pro feature isn’t quite working as expected in the future, you might need to enable permission for the application in System Preferences, Security and Privacy, Screen Recording.
The time you want to deny permission is when the screen recording warning is about an application you have never heard of with a sketchy name, because then it might be spyware. But reputable Mac applications — especially well-known graphics applications that might need to sample the screen — should normally be approved.