Heroes 5.5 WarGame Edition - Tactical Edition.

Nargott, ask a girl to come up with names, preferably someone with a literary background.
They're all terrible. Many have already been debated. The more we come up with, the worse they get.

We've already discussed this. Your position is that only short and concise names are acceptable. I need names that are atmospheric and convey the character of the units. I've already tried shortening the names and realized that this approach doesn't work – too much effort has been put into these units. However, you wouldn't understand that.

As for compound names, you're clearly not the best advisor here. You can't give advice on something you dislike. And this is proven by the fact that you can't offer anything constructive, only express your negative opinion, which is already known (due to your style), and doesn't matter. You can familiarize yourself with the naming style here.

I defended my field units, and now I don't like them... well, well...

I don't like them, but it's the best option available at the moment.

How do "guild" and "wizard" relate? Maybe then "Hieromonk Notre Dame de Paris" or "Hussars of the Mexican Army"?

Wizard and sorcerer are synonymous. Look at the root. And of the two, I chose the shorter and more sonorous option. In some localizations of Heroes 3, "mages" were translated as "sorcerers."

Light Archers => Assault Archers
It's easier to call siege units with indirect fire.

Siege cyclops already exist. Archers are not suitable for siege warfare, and the "indirect fire" ability is not appropriate for them. Moreover, their main ability is assault.

I'll leave the rest without comment.