Yep, Wire wheels were the 'norm' at that period, and up until the early 1930's at least.
The pics posted are all replicas, and those Se5s in service all had fabric-covered, or 'disc' covered, wire wheels. They were covered for a number of reasons, not just for a neat finish, and prevented mud from accumulating, and also minimised, if not eliminated, the wheel revolving in the air flow ( no brakes in those days !)