I've managed to replicate this. The relevant debugs are submitted via fogbugz. I tried 4x AA, 2x AA and AA disabled. With AA enabled, the debugs are of considerable size, around 2 MB. With AA disabled, the debug is 70 KB. Also, with 4x AA, the unit design screen doesn't show the soldier model, as in the following screenshot:

Starting with 2x AA, the unit preview was visible.