Okay let me start by saying that I understand that the trooper and Synced troop must perform the same skills. I also understand that the special smoke dodge is not considered a Dodge skill. Now my question here is how does special smoke dodge work for this team? My assumption is that if I declare special smoke dodge with the Oznat then the Preta will perform and Idle as it does not possess smoke grenades, and thus becomes a free target. The only other option would be to perform a normal Dodge on PH 13/14 respectively. Please correct me if I am wrong in this assessment, though it would seem that this team kind of cripples one of the main boons of the Oznat.
Using Smoke Grenades is a BS Attack, special dodge is a Trait of the Smoke ammunition being used during the BS Attack.
The skill declared is a BS Attack. Both the Oznat and Preta will declare BS Attack. If there is no valid target for the Preta’s BS Attack it will become an Idle.
You'll do yourself a big favor removing "special dodge" from your vocabulary. It's an unfortunate choice of words that implies a bunch of stuff that just isn't the case. Your Oznat declares BS attack to throw the grenades, so that means your Preta will often be idling. Don't consider that crippling, though: Smoke and Synch are still very strong together, and if it worked any other way Uberfallkommando would be totally unstoppable.