Prime from a customer standpoint is indeed about the shipping. But Prime from a seller standpoint (usually) means Fulfillment By Amazon. That means Amazon stores the product until there's a sale, then they pack and ship the product, and they handle most of the customer service. Those things are quite a ways outside the wheelhouse of UPS or Fedex, I think. You need a proper fulfillment center for those things. There are a number companies providing these services, so theoretically, Anker could use them instead of Amazon already. But alas, Amazon being Amazon is probably too large of a marketplace to ignore.
Oh, wow. They seriously haven't redesigned that site since I helped build it at Studio Archetype in 1998. I swear some of that is still my (very, very dated) HTML, especially all the IMG SRC="1.gif" WIDTH=123 stuff. Yikes!