For hosting Drupal applications, it is better to go with a hosting platform that promises support specifically for Drupal. There are many such platforms, Platform.sh, Acquia, Pantheon. Let's compare the two leading one's from a slightly different user perspective.
Serverless computing is exactly what the name suggests. No servers. Simple! We don't have to worry about managing servers for running small scripts like crawlers, redirects and simple computations that don't involve storage. But if there are API's involved, storage also can be managed. Endless possibilities. Which is why I decided to have a go at it and figure out what's so special about this serverless architecture you speak of!