I love simple sites, but I feel that there's something to be said for design philosophy vs tooling.
Take vanilla WordPress for example. I find it relatively easy to manage static content, especially when running it in a container to categorically prevent dependency concerns. Is it overkill for a simple site? Perhaps, but does it work and is it easy to use? It's possible to use these tools to manage a mostly static, text based, minimal to no script website. The key is recognizing the value of that simplicity and providing that simple to read, simple to use experience without distractions.
WordPress will never be as simple and performant as a truly static site, but we can do a lot to cut down the cognitive load, and we should.