Re: Oh, the irony...
 

That specific Agarthan unit is actually supposed to have such abilities, if not to the heroic degree (see description in screenshot). So it's actually highly appropriate, even though it's a random event here, which is sort of ironic in itself (that the RNG gave out a thematically appropriate heroic ability).

Re: Oh, the irony...
 

This third eye seems quite suitable to me... As said; Agarthans don't lack eyes but sight.

What boggles me more is my philosopher's feeble-mindedness (is that written correctly?) and his research ability of 7... ><

Re: Oh, the irony...
 

If you look at the screenshot, you can actually see that his helmet fully wraps around his head. Unless he has the eye in his left hand, it won't help him much. http://forum.shrapnelgames.com/images/smilies/cool.gif

Re: Oh, the irony...
 

Since the third eye is not physical but psychic or spiritual, yes it will. It also doesn't say where the third eye is. In some traditions it is (at least symbolically) in the middle of the forehead, but this character has one painted on his shield. Maybe the eye one the shield has gained dweomer-like powers and is giving this ability.