Seems like overkill for just a static site. I'd rather upload my assets somewhere and have it served out of the box than configuring and securing a web server for arguably negligible benefit.
Making your site reliant on multiple other companies' services (eg s3 relies on a heap of other aws services and can go down if those dependencies are down) just to host some static files seems overkill to me, when a single server you control can do it for you with minimal setup.