You can correlate RA rate into pitch rate. The limits on the A320 to demand an inspection are:
-Normal acceleration > 2.6 G in a 1 second window around impact OR
-RA rate is > 9 FPS during the same window
You have to do a severe hard landing inspection (you might have disintegrated the L/G) if
-Normal acceleration > 2.86 G in a 1 second window around impact OR
-RA rate is > 14 FPS during the same window
The only post-landing consequence of an overweight landing is these margins are reduced. If the A/C is above MLW:
-Normal acceleration > 1.7 G in a 1 second window around impact OR
-RA rate is > 6 FPS during the same window
demands a hard landing inspection and
-Normal acceleration > 2.6 G in a 1 second window around impact OR
-RA rate is > 13 FPS during the same window
is now severe hard.
On the LRs, there's two steps for the overweight limits, depending on how overweight you were.
If you can't get this data, even after pulling the FDR, you have to assume it's a severe hard landing (and fix the FDR).