Different classes of stock with different voting privileges could at least prevent some abuses by speculators that buy up shares and seek to force through actions that benefit speculators but harm all the other stakeholders (long term investors, customers, employees...).
There are certainly questions about if a long term exchange can make a difference. But it seems to me possible that it could. It does seem to me the voting rights on the shares would have to be different for it to have much of an affect. It seems to me it makes sense to have voting rights largely vest with those interested in the long term success of the company.