As someone who thinks about extraction soluble material with water all day long, I can't help but think about vegetables and stock.
Unlike coffee it seems like there is nothing in the vegetables we don't want (in terms of solubles that taste good), so the ideal would seem to be to get as much as possible, as quickly as possible. To that end, I can't help but be curious about how I see a lot of vegetables prepped for stock usage. Surely the ideal would be expose maximum surface area. I would presume that with a normally cut piece of carrot that more flavour is taken from the exterior than the interior? I'm going to assume that there is a great deal of unextracted (therefore wasted) material in the middle of a chopped piece.
If so then why are vegetables not chopped as finely as possible before going into the water? Would using a food processor to prep vegetables, to mince them, not be the most efficient way, allowing a faster and greater extraction of flavour for stock - getting the most flavour for you money?
If I had two pressure cookers I'd run a side by side test. (I'm a little curious whether or not there would be a measurable difference in the refractive index to measure extraction - but this might be me thinking too much like a coffee person)
Hopefully someone here has thought about this, and has a good answer about why we do things the way we do?