It didn't go into specifics on the content of that CWSU briefing but I'd imagine it will be an area forecast for that particular center area. So if you work at SAV, you'll listen to some outlook that covers ZJX. That's great all but that isn't realtime and by the time you get on to position, maybe 2 hrs later, most of any detail is flushed from memory. Even then, how are you going to describe to an aircraft any meaningful way what you heard in a CWSU that's already old?
Preventing weather accidents is about issuing the PERTINENT weather like RC posted above. The position brief and then what you observe on radar and the never ending spew that comes out the "FIDO" is what matters. If you've issued your CWAs, AIRMETs, SIGMETs, precip areas (radar), ATIS /ASOS/ AWOS confirm, PIREPs, WX dissemination, etc., then that should be enough. Problems arise when those items aren't issued in a timely manner or the pilot disregards / misunderstands them. No CWSU briefing will fix those scenarios.