That would be nice! This doesn't work reliably enough for WP sites. Whether it's devs making changes and testing them in prod, or dynamic content loaded in identical URLs, my past attempts to cache html have caused questions and complaints. The current caching strategy hits a nice balance and hasn't bothered anyone, with the significant downside that it's vulnerable to bot traffic.
(If you choose to read this as, "WordPress is awful, don't use WordPress", I won't argue with you.)