Okay, I'm an idiot. All things were NOT equal. I am really sorry using your time and launching this discussion (albeit interesting and scientific) when my experiment wasn't run properly.
It turns out when I ran the blue dye experiment with two Sawyer filters last week, the new filter started out full of clean, clear water trapped inside the filter. I had just taken it out of the package and back flushed it. I did not evacuate this clear water before taking my sample. The other filter (my old one) had sat around for a couple weeks in storage and was more or less dried out. I didn't evacuate it either, but the first water out was the blue water I had just put in.
I also used small clear juice glasses to collect the results, and because they didn't hold much water, the new filter didn't even get to the blue dyed water before I quit filling the glass. Thus it had only clean water. When I ran the experiment tonight and evacuated the pre-existing water in both filters, both ran blue.
Picture attached of tonight's results.
Anyway I'm terribly embarrassed and wishing I hadn't posted a real picture of myself!
Bottom line ... blue dye does not filter out in my Sawyer filters and probably doesn't in yours either, and I'm back to square one. Again, so sorry to have misled anyone, especially those people who never get to page 2 of this discussion.
I'm going to try very hard to redeem myself by posting my just-finished cuben fiber gravity-feed sling for my Sawyer filter. The sling weighs between 0.4 and 0.5 oz. Suspended from a tree branch, it will filter a liter of water in a few minutes. I made it because sometimes I would like the filter to work unattended while I do something else, like unpack my lunch. Top bag holds the dirty water bladder to which the Sawyer filter is attached. The cone channels the drip into the soda bottle seated in the bottom bag. The entire unit hangs from a tree branch. I hate to add any weight to the design, but it might be nice to have a small cup or pocket to hold the bottle cap while the bottle is filling, as well as a net pre-filter, so the entire water system is in one place.