There's lots of study of pottery redistribution between Anasazi sites -- often involving considerable quantities of pottery and large distances. What motivated this?
the first thing to clarify is that pottery did not move very frequently across the Anasazi region, with the one major exception of pottery that was imported into Chaco Canyon. It would be inappropriate, therefore, to call pottery exchange in the Southwest a form of "redistribution," in which pottery or whatever else is collected at one location and then redistributed back out again. That didn't happen in the Anasazi southwest. Instead, pottery and other stuff went to Chaco Canyon and stayed there, which supports the contention that Chaco was a pilgrimage center, with pilgrims bringing a pot or two, perhaps filled with grain or turquoise or whatever, and then leaving their offerings in the canyon, taking nothing material in return. It does seem inefficient to carry grain around in pottery, although that's how corn was stored, so perhaps the pilgrims, before leaving home, picked up one of their storage pots filled with corn, secured it in a pack, and then hiked up to Chaco Canyon.
Chaco Canyon may have also requested that these hypothesized pilgrims bring empty pots. Chaco, with its lack of wood, may have had a difficult time firing their own pottery, so perhaps they solicited pots from their pilgrims, even targeting people from specific areas that produced superior pottery. In fact, most pottery imported into the canyon came from the Chuska Mountains to the west, where they used a unique tempering material that may have made for better pots.
It does seem hard to imagine people hefting pots across the San Juan Basin, but then again people during those times were accustomed to engaging in activities that we simply don't do anymore, such as hiking 20 miles a day.