I'm not sure what you're hoping to achieve with the extra pockets. You can't conveniently get at stuff in a pannier while it's on the bike, and especially not while you're riding. Panniers are not a whole lot like a backpacking backpack, even tho the materials are quite similar. Generally on a bike you would sort your gear into different bags rather than different pockets. In extreme cases, you might see someone with a handlebar bag, 2 front panniers, 2 rear panniers, and then some stuff on top of their rack and maybe some stuff in a saddlebag.
I'm a 5'6" woman. With the Axiom Seymour panniers, I basically couldn't fit my hand into the "small" pockets to get at things. They're smaller than a small glasses case, and not a very useful shape. So while on paper they have 2 pockets, I'd class them as 1 pocket panniers in practice. The small pockets also don't seal terribly well.
If I insisted on a multi-pocket pannier, I'd look at something more like
REI's Gotham panniers. (yes, I know the reviews are horrible... REI is using a new version of the Rixen and Kaul attachment hardware, and apparently there are problems with the design) With this design, you can actually get at the extra pocket with the pannier on the bike. Not comfortably necessarily, but it does work. And stuff put in the pocket will be reachable again. REI doesn't currently sell any other panniers with a serious multipocket design, but they usually have something or other along this line. And no, those panniers likely wouldn't suit given what you want. But they do show the difference between a useful pocket design and a poor one.
If you're not set on lots of pockets, I'd just get the Nashbar panniers. IIRC they're cheap, light, and have held up well for quite a number of folks here for cross country trips or daily use.