I've merged the second report into the original one.
Unfortunately, I haven't actually reproduced this, though I know Chris has managed to see it once or twice (though not on desktop).
The CSRF token system is different in XF2. It's not tied to your account any longer, but just a cookie. Provided you have a CSRF cookie, all subsequent pages/tabs should use that. So I'm not actually seeing why this would happen, unless cookies are getting manipulated. (Loading a page from cache without hitting the server in a new browser session could also do it I suppose, because presumably you wouldn't have a cookie then, though that should certainly be an edge case. Ideally, if a browser is loading from cache, it should really be maintaining session cookies as well.)