Many apps are just flashing (not all third-party ones, though)

Question

Hello,
I know this is the umpteenth post about this issue, but I have tried all tricks I've read before going for a full restore and I'm wondering if some other trick might be known to the community.
First, the well-known issue is the following: some apps, when executed, cause only a brief "flash" on the iPad's screen, and then the desktop is shown again. The "flashing" app appears nevertheless in the bar with all running apps, but nothing changes if I hit the minus sign to "quit" the app. If I then restart the app, it's flashing again and I'm back to square one. Moreover, also opening the app from the bar with all running apps causes the same behaviour.
In the past I've already faced the most common version of this problem, where all third-party apps would exhibit this behaviour and only Apple's apps where working. In those cases, either the "get a free app" trick or the "sign out/sign in" trick with the Apple Store solved the issue. Now, nothing seems to solve the issue and, moreover, in this case several third-party apps work as expected. Nevertheless, at first sight it seems that roughly half of all third-party apps don't work, it's not just some isolated app. Please note that some of those apps work perfectly on the iPhone 4S with the same OS version, so I tend to rule out a compatibility issue with the OS, also because some apps were still working on the same iPad after updating to 5.1.
Here's the list of operations I've performed, to no avail:
Quitting all apps and restarting the failing ones
Installing a new app from the iTunes Store on the iPad, entering the iTunes Store password
Signing out from the Apple Store on the iPad, and then signing back in
Removed one of the failing apps from the iPad, resynched, added back the app to the iPad from iTunes, resynched.
Switching down the iPad and restarting it
Forcing a restart of the iPad by keeping both buttons pressed
Is there any other reasonable procedure to be attempted before going for a complete backup/reset/restore of the iPad?
Thanks and best regards,
Giovanni

Answer 1

Just an update, in order to collect more feedback about this issue.
I have added three further attempts at a solution:
Resetting all settings
Removing iCloud from the iPad (there's a user here in the community quite vocal about problems with iCloud)
Restoring the iPad using the latest backup
After the last move, which was what I meant to avoid but then I had apparently no other options, the problem got worse. Now all third-party apps, and even Apple's iWork touch apps, crash suddenly, even those that worked before the restore operation. I was hoping that such a condition was the well-known problem solved with any new download from the App Store, but that's not the case, unfortunately.
I'm then going to reset the iPad and restart from scratch. It's a waste of time, but hopefully less painful than keeping on chasing a solution for my weird issue.
If anyone has actually solved this kind of problem, please add your reply here.
Thanks and best regards,
Giovanni