Yes the skimmer removes organics BEFORE they get broken down to ammonia, and enter the legendary nitrogen cycle. Thus using a skimmer removes most of the work the N cycle does.
If you have a sump you can use a syphon overflow box, but it's better to simply drill a hole in the tank and let it overflow down this. Siphons are somewhat unreliable, holes are more fool prrof (unless a snail gets trapped in it....). You will never get two pumps to pump at a matching rate, so that's not viable.
Most people use their externals to store carbon or phospahte remover, and not for biofiltration, though this can be done. The sproblem with using em for biofilt is the end product of this is nitrate, which is effectively an algae fuelling mild pollutant. Nitrate can be reduced to nitrogen gas in anaerobic zones - these exist in deep sand beds and live rock (to some extent) but do not exist at all in cannisters.
Once you're setup salt isn't too bad.