Wordpress is better because it's easy to setup these days, can be fast if you enable caching, and has a comment system, which is a big deal if you want people to interact with your content. Other things like contact forms can easily be added. The CMS is also amazing.
With SSGs, you have a few options for comments, like Disqus, but the ad-free version costs money, it's slower because it needs to load JS, and your comments are owned by a third party company. Contacts forms can be built by integrating an external API. And anything else that requires storing data will require an integration with a third party service of some sort.
SSGs are a great concept but they're mostly for nerds who get boners by seeing over-engineered systems. They're also great for companies like Cloudflare because they can sell you services that come for free with Wordpress (CMS, image uploads, databases, workers, etc). For serious blogging, I'd opt for Wordpress.
The comment system bundled with Wordpress is not enough for "serious blogging", you'll need plugins to manage spam, allow users to use social accounts, etc. You'll also need plugins for caching. Oh, and you'll need plugins for SEO as well, because the core Wordpress doesn't handle the bare minimum of SEO and isn't flexible enough to allow you to do it yourself. And each plugin expands the attack surface to a system that's known for the persistent attacks, so you have to be constantly looking for updates and keeping everything update. Oh, but not everything, because there are breaking changes. And there are versions that introduce bugs or regressions.
But yeah, a bunch of html pages is over-engineering.
PS: you don't need to use Disqus if you don't want to, there are a myriad of free open-source alternatives you can self-host that will take a fraction of the maintenance work of self-hosting a Wordpress instance.
I moved my blog from WordPress to Jekyll a few years ago, and it's anything but an over-engineered system. I used WordPress for years, and it was overkill for a personal blog.
SSG are over engineered? If anything it feels the opposite. Everything in a text git repo, templated, and a llm can understand and extend. Git branch to test new builds, merge to main deploys globally on cloudflare. Super fast load times, zero security issues to worry about, zero dependencies. Version control. Zip it up and take it wherever you want.
No server side things to worry about. It's super clean. Jekyll, css, js, GitHub and cloudflare is such a clean and refreshing setup.