I’ve found a way to overcome the problem, until it hopefully comes a fix about this issue.
Even if it’s not possible to play videos directly from the Flash Disk, and not “pre-view” most of the files as in iPad (normal)/iPhone, I managed to download the files to “My downloads” on the app itself (it means not actually on the app, but on the iPad minis hard drive, and possible to run without the Flash Disk), and then I may see the videos. Then the files run without any abruptions.
