they benefit from a slightly dirty tank ...
this is a myth
they like the water pristine not unlike sps. Just becasue they can tolerate dirtier water doesnt mean they prefer it nor will they thrive more in it than perfect water.
They like nutrients in the water....again, not unlike sps. Feed the tank all your system can handle and get it out before it rots is the name of the game.
You can certainly keep your pristine water while still feeding the tank what it needs fed