In my very humble opinion, as a former USAF aircraft mishap investigator, and having seen what damage to one hydraulic line can do to a jet...
I can see how a bird ingested into one engine could damage the hydraulic system, IF it was a big enough bird that sent bones, etc as shrapnel into enough lines inside the wing and engine pylon.
But, the whole thing is weird to me, because I couldn’t see on the video whether the mishap jet had flaps down during that crash. The thrust reverser on the right wing engine was not deployed, that is the cowl being ripped off by high-speed contact with the runway. Landing gear is not deployed, but it can be deployed via gravity.
All in all, a weird incident.
My guess is they lost airspeed and basically fell onto the runway when their intention was to go around, but the altitude was not there.............