Rushed Checks & Speed Misjudgement ?
Landing on a 2200m runway even in pouring rain should not normally present a problem. This runway looks in good condition with no evidence of heavy rubber deposits that would degrade braking when wet.
If this upwind excursion was as the result of an unstable approach or a deep landing I would expect to see the aircraft come to rest in the landing configuration.... which it is not.
The flap/slat config seems to suggest that the after landing checks were initiated by the NHP abnormally early. I say 'abnormally' because normally there is no need to commence lights/flaps/apu etc. until the aircraft has vacated the runway. Here the checks have been started so early that by the time the excursion takes place the flaps & slats are stowed. The reversers deployed may simply be evidence of very late recognition of excess speed by the PF.
It seems highly likely given the LDA and the wet conditions that the crew would be planning to vacate 06 by turning left onto the parallel taxiway at the runway end.
It is quite possible that this was a normal approach and touchdown albeit in heavy rain.
With the crew already in the mindset of rolling to the end it is possible that the after landing checks were initiated prematurely, maybe even selecting both engines to Fwd Idle. As the runway end approached the speed was misjudged by the PF (PNF maybe still heads-down in checklist) and max manual braking and the reapplication of reverse were insufficient to prevent the excursion.