One of us is terribly wrong about REDIS, and how it is used as a cache mechanism for WordPress in EE.
It is a full page cache, not just database or object cache as you state.
Certainly it does not minify JS/CSS, but it is an extremely fast and lightweight cache system for WordPress, way better than any other.
I still don't get the point of paying for a cache plugin (not judging, just thinking about what I'd do with my own money). Instead I'd love to have Pagespeed compiled back to Nginx repositories used by EE.