You clever dog. You've rooted it out! It turns out when you build things with serverless technology you're still using servers. Pardon the patronizing tone there, I've seen one-too-many hot takes at this point where someone points this fact out and trots away triumphantly.
And yes, because serverless still involves servers, the term might be a bit disingenuous to some. You could be forgiven for thinking that serverless meant technologies like web workers, which use the client to do things you might have otherwise done on a server and is where the term serverless was headed. Alas, it is not.