You could've skipped this part by scrolling down and following the "More information" link.
> Is this enough fact-checking
Depends on which fact you wanted to check. If you want to verify that LLFuzz can indeed be used to find such vulnerabilities, you would need to run it yourself, which is currently impossible because https://github.com/SysSec-KAIST/LLFuzz is empty. It's probably true anyway, but not verifiable by fact checking.
> This whole process takes time, are there any other known techniques/tools to further reduce the time to fact-check and analyze
If you reduce your consumption of sources that require frequent fact checking and only check when it's very important to you to ensure that a fact is true, you can spend less time fact checking.