Perhaps a bit optimistic but if truly interested in the shareholder's best interests, the company/BoD could send out to share holders of record an announcement about such a gathering site if they are interested in knowing themperature of current share holder sentiment.
Depending on response or lack thereof, it would give the BoD a truer sense of what the sentiment of some percentage of share holders really is and an indication if they can continue on their present course of action or need to make changes. That said, companies are not true democarcies so they could ignore any results that did not meet with their collective point of view.
FWIW 10% is a magic number of sorts in terms of swaying a given population or body of individuals. Researchers have resported that once 10% of a given population choose a definitive course, the other 90% will follow their lead.