For my mission, I'm using some Romulan and Federation frigates wearing Klingon Bird of Prey costumes. Bit a placeholder so I can get klingons to fight klingons and allow the player, also a klingon, to kill them all.
When I target them while doing the mission, the icon in the target window is that of Romulan BoPs and Federation T1 frigates, rather than the icon that should go with a Klingon BoP.
Icon defaults to what goes with the costume, not what the ship is originally. Possibly with the ability for the player to override that icon.