That definition of a middleman is pretty useless. According to you Apple is a middle-man because they just provide access to apps and web pages which you really want to use. Google search is a middle man because you just use them to access websites you really care about. Walmart is a middle man because they only connect the producers of consumer goods to consumers.

Everything ultimately leans on suppliers so if that's your definition everything is a middle man unless you farm crops or dig up ore or something.