Nah, privateers kept the heriarchies of home, only attacked and stole from permitted targets, and those who captained ships came from the elite of society - such as Sir Walter.

Pirates were much more socially accepting, allowing women and people of colour in to crews, and even to positions of authority. They didn’t pay homage to a nation or work for empire. They saw a chance to get rich quick by not playing by nascant capitalisms rule.

Of course many pirates did start out as low levels on privateers’ ships, but unlike their landed gentry captains didn’t see a point in staying loyal to a crown and we’re happy to mutiny for their own benefit when the chance came along.