Yes! I am also not sure if you even can change content without changing metadata. Since the "last modify date" should also be metadata, lol. So I think Change >= Modify always holds.

I also found out that most linux distributions mount the root partition with noatime so the last access time just always shows the birth time: https://unix.stackexchange.com/a/8842

However, to make my site more dynamic, I am thinking about updating the last access timestamp dynamically to show when the page was last visited over the web. I like small details like this :)