I'm on 0.9.2.11 of W3TC and 22.214.171.124 of WPTouch.
Sometimes, even when surfing on the desktop, my site shows the mobile version of a page.
But, because W3TC is configured to not show cached versions to logged in users, when I login, I don't see the mobile versions from the desktop, so it seems clear that this is an issue between the 2 plugins.
WPTouch uses the wptouch_switch_toggle cookie, which it configures as a rejected cookie in W3TC's pageview settings. But correct me if I'm wrong- if that was working properly, this problem should not be happening.
I do know that if I clear my cookies in the (desktop) browser, the correct version of the page will appear (the non-mobile one).
Is this a rejected cookie bug?