> My dog doesn't need a wire for anything, but no-one talks about them being 'wireless'.
Indeed :-) But isn't this the same sort of definition you want for "serverless"? Not something relevant to consumers (e.g. "you don't manage servers") but a description of something where servers are not involved in any way?
My wireless printer needs a wire for power.
My dog doesn't need a wire for anything, but no-one talks about them being 'wireless'.
(Come to think of it, my dog is serverless too...)