Fast caches like Falcon and some of the others improve speed by skipping WordPress altogether, when a cached copy of a page is available.
If you are using a plugin that counts post views, it sounds like it only counts views when WordPress runs, and not by a script that loads in a user’s browser upon every pageview (which would still work with this type of cache). In that case, unfortunately, you have to choose between the fast cache and that type of plugin.
Wordfence’s basic caching still allows WordPress to run before loading cached pages, so the plugin can still count pageviews, but the cached pages will load a bit more slowly. You might be able to find a plugin that counts pageviews differently, but I don’t know of any like that myself. External tools like Google Analytics should still count though, since they use a script that loads in users’ browsers when they view each page.
-Matt R
