Hmmm considering Rogers took up the governorship of the Bahamas pretty much pro bono and went bankrupt trying to get rid of the pirates in the area,build up the areas defenses and generally get the island to be productive..and seems to have sent letter after letter for assistance from England to little avail, I think Rogers might have had a bit of trouble if a united force of pirates had tried to seriously attack.
Hornigold, who held quite the sway in the area as a pirate earlier on, turned and took the King's pardon and went to work for Rogers as a Pirate hunter, knowing he supported Rogers might cause Vane to to think twice and even Teach for that matter since he was under Hornigold's command, again earlier on.
It would have made for some interesting history if it had happened, win or lose, I think Rogers would have put up one hell of a fight. Any one who can remain on deck during a battle, laying in his own blood with a ball in the roof of his mouth and still command by writing orders is one pretty tough bastard in my book.