IMHO Sears would have an opportunity now if they hadn't sold off their brands. Cobranding (for instance) Anker products as Craftsman would have me buying it there instead of Amazon for one reason: commingled inventory and fakes.
the mismanagement of the craftsman brand will one day be a case study in all business schools. It is incredible how much I spent on tools with them over the years, and incredible how I'm not even sure where to buy them anymore.
IMO, the biggest mistake Sears ever made was NOT buying Home Depot when they had the chance.