Holding a minority of common stock does not give you the power to “determine, direct, or decide important matters” so no, it would not cover that.
This is why corporate raiders can gut companies by buying into them, replacing boards and/or force them to huge divestments, loans and finally dividends, and then when finished leave a husk of the company back to index and pension funds that just buys mindlessly to retain their index balance (even if the company has no real long term future).
Say, when the corporate raiders buy a bunch of shares, how come the institutional investors still have theirs? That seems odd…