There was discussion last night about what in-game tactical information is displayed, for example when you kill a unit.
I have discovered that although I have this setting disabled in the mission, it is currently down to each persons choice.
If you want to see it the box needs to be ticked in your "Options", if you would rather wait until to you get back to bank the points and see the type of units you have killed, disable it. (see below)
If enough people would like I can force it via the mission editor for the mission. The setting shown below, if added, would force battle Damage to be off (Its not ticked at the moment)