That dang stabilizer!

Because you're doing a lot of backwash/rinse cycles when you're cleaning up a green swamp, and have to add water to make up for what you lose with the backwash/rinse, you dilute what stabilizer you may have added. That's what prompts the recommendation to deal with the algae first and worry about stabilizer later.

Another issue is the slow rate of dissolution. Some stabilizer, especially the granular stuff, can take a long time to dissolve. When it's put directly into the skimmer basket—which a lot of people do on the pool store's advice—it will get sucked into the filter and sit there for a few days before it dissolves. Well . . . if you're backwashing frequently, it gets washed away.

Hence the suggestion to put it inside an old sock and place that in the skimmer basket, or suspend it in front of a return in the water. The stabilizer I have is flakes and dissolves within just a few hours, or can be pre-dissolved and then poured into the skimmer.

The important part though is the dilution of CYA as a result of backwash/rinse/refill. So, it's probably best to just not add it until the shock process is finished.