Removing player name tags from units?

I'm making a map where I would like to make one player's unit indistinguishable from another's. I can give them the same model and color, but I would like to remove the player's name that appears in a tooltip whenever you mouse over another player's unit. Does anyone know how to do this? I looked in the Gameplay Interface section of the WE and I don't think I saw anything for it.

There are some triggers under the 'Game - ' section. Also I think there is some trick with the locust ability (look for PitzerMike's ability guide).

Try to create this unit usin' the same way a human item can create mechanical animals to scoot enemy camps...

I wouldn't recommend using the Mechanical Critter ability, since that has other effects (for example, units won't automatically attack it, even if they are enemies).

You could use some of the special 4 neutral players + extra neutral players in user slots, have them share control with each of the players. You can also try using a negative selection scale, but that hides the HP bar as well I believe.