Is stabilizer necessary?

[PBLsQuad450]

"The important thing to understand is: in a stabilized pool, more chlorine is available where it needs to be to destroy pathogens that enter the water."

does this mean that where Cl destroys "dirt" it leaves behind a Cl free void? The Cl is in suspension operating in a liquid? so, if a piece of "dirt" falls from the sky into the pool does it leave a Cl free trail on it's decent to the bottom of the pool? And when it lands does it have a Cl free zone around it because it exhausted the Cl in it's immediate contact? If so, how long does that Cl free zone last? Long enough for algae to develop?

"And technically the flow rate of circulating water goes to zero at surfaces. Water and chemicals get to surfaces via diffusion while circulation has more to do with the size of that diffusion layer and therefore the net rate of diffusion through that layer. This is why brushing the pool is still important even with proper chlorine levels, especially with plaster or other somewhat "rough" surfaces."

Is this considering the sides and floor beneath the water line "surfaces?" The OP indicated his
blooms were in crevices at the base of his stairs and the like, not where surface tension inhibits circulation? I am dense so pardon me, but where the OP indicates he operates at 60-80ppm CYA and 5-7ppm Cl why wouldn't 80-85/90 CYA and 8-11ppm Cl fix that? I almost NEVER shock, just once all of last season after a hurricane, so like never. I must be dumb lucky. I'm counting my blessings and going swimming! Recurring algae blooms would make me nuts. I just knocked wood of course...