That's not within their power.

Gotta break a few eggs to make an omelet.

The investors in ABNB will eventually probably raise a toast in memoriam of those caught up in the disruption.

AirBnB probably don't have standing to file a suit to have him removed. I suppose they could fund him to file a suit against the blacklist agencies - assuming that there's a valid case. Alternatively he could sue ABnB for further damages due to ending up on the blacklist, though he might not be able to do that due to previous settlements, arbitration, etc.

He was renting an apartment and he listed it on AirBNB, which was almost certainly a violation of his lease agreement (and poor judgement on his part). The blacklisting, if it exists as he says it does, is entirely his own fault.