First post.
Disregarding first any notions of D&D rules, or formed cavalry/infantry (as I’ve encountered little of either in my lifetime), I think, as many other posters seem to, that the question must be clarified before an answer can be rendered.
My definitions follow.
Hand to hand weapon: object useful for combat powered only by muscle force and inertia.
Defensive combat: conflict enabling one to injure or kill an attacker. People do this against Bad Guys.
Offensive combat: conflict enabling one to injure or kill an enemy. Soldiers do this against The Enemy.
To most these seem obvious, but many seem to address conflict as a back and forth exchange. Ideally, conflict is a completely one-sided event, be it defensive or offensive.
In my experience, a conflict ends when the first solid blow is landed, as long as that advantage is pressed until the opponent is unable to sustain further conflict. This rule applies to most all unarmored combat.
I see a trend in previous posts to lean towards armed combat in eras past. Maces, broadswords, halberds and such are all relatively enormous compared to, say, a Kel-Tec P11, or a small knife, both of which fit in my jeans and accompany me most everywhere. Combat of late is with small blades, improvised weapons, and firearms.
A mace of thirty pounds may be able to lay open a skull from horseback, but horse cavalry wielding impact weapons are a thing of the past.
So, in my mind, the matter is not the weapon but of the first to land a disabling blow.
The reigons vulnerable to disabling strikes with hand to hand weapons are the eyes, throat, and certain vital organs, most unhelpfully hidden in the torso.
With this in mind, I’d say the hand to hand weapon I’d least like to face is a razor, stiletto, or similar in the hands of someone not prone to announce themselves.
In an offensive situation, I’d choose similar.
The ‘destructive’ capacity of such an attack is not inconsiderable.
Impressive Iron-age weapons or not, one rarely puts up a good fight sans eyes.