Two weeks ago I used water out of Horseshoe Meadows and Cottonwood Lake no. 5 without treating it and I have suffered no ill effects yet. Similar story for the Meysan Lakes area, have drank unfiltered in the past with no problems. Of course, you're always rolling the dice, right? Well are ya feeling lucky? (Just saw "Dirty Harry" with Clint Eastwood, haha)
If you're not too thirsty on the trail to Cottonwood Lakes you can probably get by with just 1 liter, as there are sources to refill along the way. From Cottonwood Lake no. 5 to the summit via Old Army Pass I would bring at least 2, and probably 3 liters to make it up and down, as there is no water above the lakes save for unmelted snow (if any).