The limit for an overweight landing for the A330/A340 is 350fpm
That isn't the question here. The question was about a
normal landing on a check ride, and whether that banged-on touchdown
in itself could constitute a check failure. As I mentioned before,
8fps wouldn't be a Line failure in itself.
If you're flying a modern aircraft - be it Airbus or Boeing -
chances are you'll know that it was in fact a hard landing
by the time you reach the terminal gate.
ACARS will have automatically sent a report to your OPS
and ECC. The head of Engineering will be the guy with a
real angry look on his face waiting to greet you - and a
despatcher with a memo from the fleet captain asking you
to drop by his office as soon as you're done.