Does CiviCRM work with Site Performance Engines in Wordpress such as Falcon?
Most of the pages displayed by civicrm can potentially be customised per user (eg. pre-fill the contribution form if the visitor is known or display "looks like you are already registered" on an event page for instance).

So if you start generating a page for one specific visitor, cache it  and distribute the result to all visitors, there is a big risk you will show information about one visitor to all the others, and finetuning which specific page is cache safe is going to be tricky

However, it seems that the falcon cache allow you to explicitly exclude some pages, so you could exclude every civicrm page and still benefit from the cache for all your other pages (eg. your articles).

That's what I'd suggest you to do. The potential speed gain isn't worthwhile the risk of showing private information to the wrong visitor.