Is it possible to recover data that was not seen by testdisk and photorec?

Question

ubuntu

Input: ubuntu 16.04, testdisk and photorec utilities.
Today, suddenly, through nautilus and the terminal, the standard Desktop folder and all its contents are no longer displayed.
I just rebooted the laptop, the Desktop folder appeared, but the contents disappeared without a trace. According to history, I checked that I didn’t delete it either explicitly or indirectly. Through locate and find, I could not find the missing files - it means they have not moved anywhere.
I decided to try to restore them - testdisk revealed bad sectors that could not be recovered, partition browsing revealed a couple of deleted files, but these are not at all the ones that were lost - it was a couple of months ago and not that.
I installed recovery from free space via photorec - it restored anything (some garbage from installation files and logs), but not files from Desktop.
The final question - apparently nothing can be restored, and how could this happen at all? I found only one such case on the net, it was not possible to restore it from the topikstarter.

Answer 1

In theory, files can be in lost+found, but the probability tends to zero.
It is impossible to recover information from damaged sectors, alas.

Answer 2

Perhaps the translator has flown!