>not permit certain automation such as insurance claims

I don't see any problem in automation which does mistakes, humans do too. The real problem is that it's often an impenetrable wall with no way to protest, or appeal, and nobody's held accountable while victims lives are ruined. So if to pass any law in this field it should not be about banning AI, but rather about obligatory compensation for those affected by errors. Facing money loss, insurers, and banks will fix themselves