1. Jane, a security researcher, discovers a vulnerability in a Acme Corporation's public-internet-facing website in a legal manner
2. Jane is a US resident and citizen
3. Acme Corporation is a US company
... is it legal for Jane to post publicly about the vulnerability with a proof of concept exploit?
Relatedly:
Why do security researchers privately inform companies of vulnerabilities and wait for them to patch before public disclosure? Are they afraid of liability?