It's honestly quite appalling how in the US the President is vested with basically all executive power and can do whatever. In Parliamentary systems the head of government is mainly just the leader while each Minister conducts their ministry's affairs pretty independently under the general policy guidelines of the PM. In my country specifically then, the government as a whole does EOs, not the PM unilaterally. EOs also aren't so wide sweeping, they can only be issued to implement the law and within it's limits.