So... I was looking up something unrelated and noticed something interesting. Nowhere in the description of Semi-Auto Burst or Full Auto Burst does it mention being able to dual wield basic class weapons, only pistol class. It mention them when discussing moving while burst firing, but not dual wielding. On the other hand the description of Two Weapon Fighting it says any weapon "that can be reasonably used in one hand."
One possible interpretation of this is that you can dual wield with a basic weapon + recoil glove, but are restricted to Standard Attacks.