true, but for a blog, the html would be cached per page, which means that if you look at n pages the same css is loaded n times too.

depending on _how_ you cache it, there might be a cache invalidation round trip for your css (Q: has this changed? A: no), which might or might not transfer more data than your embedded css anyway.

Most blogs consist of more than a single html page and usually reuse the same styles.

True, but most visitors to your blog won’t read more than one page.