> However, when someone says that they have a serverless system I immediately understand what they are trying to say.

Obviously we don't as I don't consider the expression "serverless" accurate in describing what is really happening. Call it what it really is : pubsub, calling it "serverless" is misleading marketing.

> You don't need to scale the API Gateway

You still need API Gateway to communicate with the outside world, here is your server, you know exactly what I mean. What you call "serverless" didn't invent autoscaling in PAAS.

It's interesting by the way that you keep using product names "Lambda", "API Gateway" which aren't concepts but Amazon products. That's marketing. It's like calling all social networks "Facebooks". "Serverless" is a marketing device to sell Amazon services, I think people get it by now.