If I understand your soap chain correctly, it produces soap until your hospital is filled plus exactly one more. Then everything else in the chain is 'loaded' for the next production. That seems way better than mine. Have you noticed if 'partial bars' count against this? I might be somewhat afraid of dwarves using a bar once each, but I'm sure that could be worked around even if so.
All my partial bars are in the hospital. My well was recently filled and I haven't had anyone wash themselves with non-hospital soap yet.
Addendum: I suspect they'll count unless you add the "unused" trait (like the clothing industry requires.)
Another soap chain question. In my soap chain I have to watch out for the kitchen stealing the paste since you can't differentiate between the paste and the cakes in the kitchen menu. Since you have one 'loaded', is this a problem for you or is it such a small 'leak' that it doesn't really matter?
I keep them near the screw press and not the kitchen. It selects closest first. Linked workshops work, too.
They'd get flooded out with all my other ingredients, anyway. There's always a bunch of cavern meat rotting in my butcher's shop and my prepared meals stockpile is full.
I didn't think of filling 'up to' on clothes. I used to manually count excess clothes and fill as needed, until I noticed that dwarves seem to keep claiming as long as I kept making. Ever since then I produce a fixed amount yearly based on number of dwarves and most of my clothes troubles have gone away. Have you noticed any extra hoarding with auto-filling your clothes?
I'd rather have them hoarding my masterworks than goblin trash. It got worse when I built cabinets, so I'd just avoid that in the future.
Overall, the greatest issue is bins. If a bin is tasked, all the items inside are ignored for conditions. Exacerbating this is that bin stockpiles tend to steal items from non-bin stockpiles.