If dynamic content is client side driven, it wouldn't be "static" as each client could see a different page.
For example, even if you your webpage just displayed the client side time, it would be dynamic since people in different time zones will see a different time regardless of the time being generated on the client side.
Whether it is a static class or a static webpage, static has a well established meaning in the CS world. But I haven't done web development since college and it is possible the meaning of static webpage has changed as technology changes.