Both serverless and cloud are words that essentially mean that you are running back-end stuff on someone else's computer. That's not necessarily a problem, but these words appear chosen for their hype value and lack of actual semantic meaning. They are also irksome and downright impractical when you want to get down to what it really is or does due to all the marketing fluff and misinterpretation surrounding them.

If you want to talk nuts and bolts about some cool technology or interesting concept; why not use an unambiguous term that means just that one thing — e.g., platform-as-a-service (PaaS), function-as-a-service (FaaS), or simply a hosted solution.