Socks or floss is a good way to get particulate out of the system, especially newer tanks. I wouldn't recommend to someone to just pull them. You have to have something to balance out what you're removing. When my extra large ATS is running right it is more than capable of keeping my NO3 & PO4 under control. One of the cheap lights on it died and I'm just now getting it back on line. But it will be a few weeks before it has good growth. During the month it's been down I've been dosing NO3PO4X at half the recommended rate and it is working pretty good. In addition to the ATS I have a pretty big skimmer and also run UV. The way my sump is laid out the only way I get bubbles is if the return chamber is low for some reason, and I don't have issues with particulate in the UV. Right now I have about 1700ghp going through the sump. Everybody's systems are different, even if just a little. What works for one might be a disaster for another. I do think that as a system matures and has decent amount of coral biomass it handles nutrients much better. As the system transitions from newer to more mature you'll see the NO3 & PO4 numbers start to bottom out. That is when is when you can look to remove something simple like socks and see what effect it has on the overall system.
When using your ATS, did you ever bottom out the NO3 and PO4 to dangerous levels? I've been using one and it did wonders for my PO4. Went from 0.16 to 0.01 in a month but I had to dose KNO3 since it would go to 0 in a day (from 3.5 ppm) but Im worried it'll strip the water too clean.