BA, like many airlines, runs a FOQA program. All the data from that flight will have been processed and any exceedances or odd behaviour flagged up for closer inspection.
They do indeed....I have reason to believe not much gets past FOQA programs...
I also have reason to believe that if you put one on a bit firmly but don't consider it was firm enough to warrant paperwork a few weeks later you may get a phone call about it........ certainly if the kit considers there was a hard landing there's no hiding place, it will not be ignored.......