Okay I'm not sure where you're going with this at all. Either we've all been doing it wrong or you're not getting your facts straight. If its not dissolved in the cold water, how would it get through the strainer? More water doesn't mean more APAP is going in, thats like saying you're going to get more salad dressing solids if you pour your dressing through a cloth.
Ya, its the solubility. Solubility in water is around 1g/100mL, meaning that if you extract 30grams using 2L of water and drink it, you'll die of overdose because the 2L of cold water would contain 20g of APAP.