It is absolutely true that the board has a fiduciary duty to shareholders, and many states have statutes specifically protecting minority shareholder rights. Delaware is fairly unfavorable to minority shareholders though.
Otherwise one state would have a monopoly based on it being business friendl... oh wait, maybe that is the case.
The corporate charter, and the bylaws of the corporation are all explicitly governed by Delaware law. These documents control what powers different share classes have regarding corporate ownership and operation.
TLDR: Delaware law is almost certainly the controlling law regardless of where the shareholder lives.