You don't appear to understand the reason for an NDA.
NDA's are designed to protect the company by insuring against insider information, understood that it will not be shared with outsiders. Insiders sign off and are not subjected to those phone calls to which you refer---never! An NDA is really just a threat.
I've signed many NDA's over the years. Take it from a former Investor Relations department head of traded companies, NDA's are never pushed into court. Rather, they represent nothing more than a gentleman's agreement to hold critical information critical, nothing more.