When I put on my instructor hat, serverless is ideal as it drastically simplifies what a student has to learn to get a website up and running.

But if you already are a full-stack engineer, then I think having an entire stack at your hands is way more powerful and flexible.

I think it's matter of time though where just like how Bootstrap paved the way for re-usable components, serverless will soon pave the way for re-usable functions or even services which I think would be a total game changer.