Hello,
I noticed that WP-Supercache caches a WP-TOUCH PRO file called like this /?classic_include_dynamic=1&version=6c1f97d67fec3e255c0cb2279cc943de. The cached version has some errors, what causes a not fully loaded Stylesheet for wptouch. The Page is white and hasn't the normal background, ect.
The Debug Log says this: http://pastie.org/pastes/3029950/text?key=mbwk7fxbdprehv8fbhf5xg
I don't know why this get cached, because of the QUERY String, when I call the page again, this won't be cached. Maybe there is an user-Agent which isn't redirected to wp-supercache?
PS: For the Test I used a Device, what has any cookies, and I cleared the cache before calling the page.