Im pretty sure they are industrial. The pic shows industrial sockets (look really close at the big guy on the left) and the parts list of included items has "Industrial" letterhead. Could be the pic is wrong (which is the case on some other stuff for sure), but the parts lists are usually accurate. There are a couple industrial wrench sets also listed on sears.com for half off.
Im also thinking that the reason they are listed as "professional use" is because Grainger is supposed to have an agreement to exclusively sell Industrial branded tools. If thats the case Sears selling them as industrial would be a no-no. That would also explain why Sears Outlet does not mention "industrial" on any of the product pages for the tools they are selling.