I honestly don't see the need to change it. The first use of "serverless" is from this article:

https://readwrite.com/why-the-future-of-software-and-apps-is...

In it, he points out:

>The phrase “serverless” doesn’t mean servers are no longer involved. It simply means that developers no longer have to think that much about them.

I don't know how anyone could interpret "serverless" as meaning there's no server involved at any point in the application's execution, and if they did, I'm not sure what harm it causes? It seems like the only objection here is a pedantic urge to be more correct.