Using W3TC v0.9.4.1 - my site is currently being moved from http to https, but at the moment is still available on both.
When anyone visits my site on http, it loads just fine - however, when someone visits the site on https, most of the JS and CSS files fail to load properly - UNLESS I purge the page cache. This is only a temporary measure, and it soon goes back to not loading on https properly.
If I disable W3TC, then both the http and https site load just fine.
Also, both http and https load faster if I disable W3TC.