Rstegman, the discussion is about 'set' or 'top' tools, i.e. handled tools designed to be placed on top of the work and struck with a hammer. The handle keeps your hand away from radiated heat and errant hammer blows. They are most often used when working with one or more strikers or a treadle hammer, but have some utility when working alone or with a power hammer. Examples include fullers, swages, set hammers, flatters, cutters/chisels and punches.
Set tools can be either punched and handled like a hammer (though the handle does not need to be as substantial or secure as for a hammer) or have a handle attached by wrapping the body of the tool with a iron or mild steel rod, or more historically, a withy.